CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation for the last research proposal) Birthplace: Brazil
bachelor's at Engenharia Elétrica (Ênfase em Eletrônica) from Universidade de São Paulo (1984), master's at Mathematics from Universidade de São Paulo (1987) and doctorate at Center for Dynamical Systems and Nonlinear Studies from Georgia Institute of Technology (1992). Has experience in Mathematics, focusing on Partial Differential Equations, acting on thjavascript:void(0)e following subjects: attractors, atratores, parabolic problems, pullback attractors and problemas parabólicos. (Source: Lattes Curriculum)
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(Only some records are available in English at this moment)
In this project we propose to study qualitative properties of solutions of quasi-linear problems. We are particularly interested in the study of the saddle point property (for autonomous or non-autonomous problems) under very general conditions that include mathematical models of relevant practical problems.
This project aims to study the topics of spectral theory of operators, theory of semigroups and their generators and geometric theory of parabolic semilinear differential equations, and then to apply such knowledge to analyze the semilinear Chafee-Infante equation. Finally, we seek to study stability and hyperbolicity of equilibria for a non-local quasilinear Chafee-Infante equation, maki…
We will see that the proposal developed mainly addresses qualitative issues associated with the study of the existence and characterization of the global attractor structure for some classes of nonlinear (autonomous and nonautonomous) parabolic problems with the presence of a Kirchhoff term in the operator. To solve such problems, we propose to combine variational and topological techniqu…
(Only some records are available in English at this moment)
The aim of this project is to study and relate the concepts of non-autonomous attractors (pullback, uniform and skew-product), study results that give sufficient conditions for existence of non-autonomous attractors, study the Morse Decomposition of non-autonomous attractors and apply the theoretical results to the study of a model (discrete Chafee-Infante like), completely characterizing…
The aim of this project of PhD degree is to extend the class of non-autonomous dynamical systems (arising from differential equations) for skew-product semigroups that have a dynamically gradient structure.
We describe the methods used to find estimates of fractal dimension for attractors of autonomous and non-autonomous problems in Banach and Hilbert spaces. The main goal is obtain a comparative (in a broad sense, being that quantitative and/or qualitative) between these two quotas, when both the methods can be applied. Such results will allow us to make the better choice for the estimative…
(Only some records are available in English at this moment)
In this project, we are interested in finding non-autonomous equilibria and studying properties of stability and hyperbolicity related to those solutions aiming at characterizing the asymptotic dynamic of non-autonomous problems.
We study stochastic evolution equations, which are be obtain by perturbations with noises, autonomous evolution equations. We are interested in the asymptotic behavior of dresses equations and we search for results that a allow us to compare the autonomous problem with the stochastic problem obtain by perturbation. (AU)
For the research period abroad, I will study dynamical systems in infinite dimensions. I pretend to continue the studies that started in my Phd thesis at FU Berlin in 2017 and started at ICMC-USP in the same year. We will consider two problems described below. For such, I pretend to visit IST-Lisboa in order to contribute with the mathematics being done in Brazil, and increase the researc…
We describe methods to estimate the fractal dimension of attractors for autonomous and non-autonomous dynamical systems in Banach and Hilbert spaces. The main objective in this project is to obtain a comparison (in a broad sense, being that quantitative and/or qualitative) between those two quotas, when both methods can be applied. Such results will allow us to make the better choice for …
(Only some records are available in English at this moment)
| 42 / 38 | Completed research grants |
| 5 / 5 | Ongoing scholarships in Brazil |
| 28 / 11 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 6 / 4 | Completed scholarships abroad |
| 82 / 59 | All research grants and scholarships |
| Associated processes | |
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
| Publications | 66 |
| Citations | 482 |
| Cit./Article | 7.3 |
| Data from Web of Science | |
BRUSCHI, SIMONE M.; CARVALHO, ALEXANDRE N.; PIMENTEL, JULIANA F.. Limiting Grow-Up Behavior for a One-Parameter Family of Dissipative PDEs. Indiana University Mathematics Journal, v. 69, n. 2, p. 657-683, 2020. Web of Science Citations: 0. (14/03685-7, 18/10997-6)
CARVALHO, ALEXANDRE N.; NASCIMENTO, MARCELO J. D.. SINGULARLY NON-AUTONOMOUS SEMILINEAR PARABOLIC PROBLEMS WITH CRITICAL EXPONENTS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, v. 2, n. 3, p. 449-471, SEP 2009. Web of Science Citations: 7.
CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; ROBINSON, JAMES C.. FORWARDS DYNAMICS OF NON-AUTONOMOUS DYNAMICAL SYSTEMS: DRIVING SEMIGROUPS WITHOUT BACKWARDS UNIQUENESS AND STRUCTURE OF THE ATTRACTOR. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 19, n. 4, p. 1997-2013, APR 2020. Web of Science Citations: 0. (18/10997-6)
CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; ROBINSON, JAMES C.. NON-AUTONOMOUS DYNAMICAL SYSTEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 20, n. 3, SI, p. 703-747, MAY 2015. Web of Science Citations: 15.
MARROCOS, MARCUS A. M.; PEREIRA, ANTONIO L.. Eigenvalues of the Neumann Laplacian in symmetric regions. Journal of Mathematical Physics, v. 56, n. 11, NOV 2015. Web of Science Citations: 1.
CARVALHO, ALEXANDRE N.; CHOLEWA, JAN W.; NASCIMENTO, MARCELO J. D.. ON THE CONTINUATION OF SOLUTIONS OF NON-AUTONOMOUS SEMILINEAR PARABOLIC PROBLEMS. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 59, n. 1, p. 17-55, FEB 2016. Web of Science Citations: 0. (11/51704-2, 11/04166-5)
BORTOLAN, M. C.; CARVALHO, A. N.; LANGA, J. A.. Structure of attractors for skew product semiflows. Journal of Differential Equations, v. 257, n. 2, p. 490-522, JUL 15 2014. Web of Science Citations: 20. (12/23724-1)
PEREIRA, MARCONE C.; SILVA, RICARDO P.. ERROR ESTIMATES FOR A NEUMANN PROBLEM IN HIGHLY OSCILLATING THIN DOMAINS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 33, n. 2, p. 803-817, FEB 2013. Web of Science Citations: 14. (12/06753-8, 10/18790-0)
BORTOLAN, M. C.; CARABALLO, T.; CARVALHO, A. N.; LANGA, J. A.. Skew product semiflows and Morse decomposition. Journal of Differential Equations, v. 255, n. 8, p. 2436-2462, OCT 15 2013. Web of Science Citations: 11.
ARAGAO-COSTA, E. R.; CARABALLO, T.; CARVALHO, A. N.; LANGA, J. A.. NON-AUTONOMOUS MORSE-DECOMPOSITION AND LYAPUNOV FUNCTIONS FOR GRADIENT-LIKE PROCESSES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 365, n. 10, p. 5277-5312, OCT 2013. Web of Science Citations: 9.
CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; ROBINSON, JAMES C.. Lower semicontinuity of attractors for non-autonomous dynamical systems. Ergodic Theory and Dynamical Systems, v. 29, n. 6, p. 1765-1780, DEC 2009. Web of Science Citations: 14. (03/10042-0)
CARVALHO, ALEXANDRE N.; CHOLEWA, JAN W.; DLOTKO, TOMASZ. Equi-exponential attraction and rate of convergence of attractors with application to a perturbed damped wave equation. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v. 144, n. 1, p. 13-51, FEB 2014. Web of Science Citations: 2. (09/52687-4)
ARAGAO-COSTA, EDER R.; CARABALLO, TOMAS; CARVALHO, ALEXANDRE N.; LANGA, JOSE A.. CONTINUITY OF LYAPUNOV FUNCTIONS AND OF ENERGY LEVEL FOR A GENERALIZED GRADIENT SEMIGROUP. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 39, n. 1, p. 57-82, MAR 2012. Web of Science Citations: 10.
CARVALHO, A. N.; CHOLEWA, J. W.; LOZADA-CRUZ, G.; PRIMO, M. R. T.. REDUCTION OF INFINITE DIMENSIONAL SYSTEMS TO FINITE DIMENSIONS: COMPACT CONVERGENCE APPROACH. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v. 45, n. 2, p. 600-638, 2013. Web of Science Citations: 4. (09/08435-0, 09/52687-4)
MARTINS‚ MJ. On the integrability of the SU (N) Hubbard model. Physics Letters A, v. 247, n. 3, p. 218-220, 1998.
BORTOLAN, MATHEUS C.; CARVALHO, ALEXANDRE N.. STRONGLY DAMPED WAVE EQUATION AND ITS YOSIDA APPROXIMATIONS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 46, n. 2, p. 563-602, DEC 2015. Web of Science Citations: 0. (12/23724-1)
ARAGAO-COSTA, EDER R.; CARVALHO, ALEXANDRE N.; MARIN-RUBIO, PEDRO; PLANAS, GABRIELA. GRADIENT-LIKE NONLINEAR SEMIGROUPS WITH INFINITELY MANY EQUILIBRIA AND APPLICATIONS TO CASCADE SYSTEMS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 42, n. 2, p. 345-376, DEC 2013. Web of Science Citations: 1. (08/09342-3)
CONSUL, N.; OLIVA, S. M.; PELLICER, M.. A PDE APPROACH OF INFLAMMATORY PHASE DYNAMICS IN DIABETIC WOUNDS. PUBLICACIONS MATEMATIQUES, v. 58, n. 2, p. 265-293, 2014. Web of Science Citations: 0.
SIMSEN, JACSON. A note on p-Laplacian parabolic problems in R-n. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 75, n. 18, p. 6620-6624, DEC 2012. Web of Science Citations: 6.
CARVALHO, ALEXANDRE N.; CHOLEWA, JAN W.. Exponential global attractors for semigroups in metric spaces with applications to differential equations. Ergodic Theory and Dynamical Systems, v. 31, n. 6, p. 1641-1667, DEC 2011. Web of Science Citations: 2. (09/52687-4)
BORTOLAN, M. C.; CARABALLO, T.; CARVALHO, A. N.; LANGA, J. A.. An estimate on the fractal dimension of attractors of gradient-like dynamical systems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 75, n. 14, p. 5702-5722, SEP 2012. Web of Science Citations: 0.
RODRIGUES, HILDEBRANDO M.; SOLA-MORALES, J.. On the Hartman-Grobman Theorem with Parameters. Journal of Dynamics and Differential Equations, v. 22, n. 3, p. 473-489, SEP 2010. Web of Science Citations: 4. (03/10042-0)
CARVALHO, A. N.; CHOLEWA, J. W.. LOCAL WELL POSEDNESS, ASYMPTOTIC BEHAVIOR AND ASYMPTOTIC BOOTSTRAPPING FOR A CLASS OF SEMILINEAR EVOLUTION EQUATIONS OF THE SECOND ORDER IN TIME. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 361, n. 5, p. 2567-2586, 2009. Web of Science Citations: 10. (03/10042-0)
ARRIETA, JOSE M.; CARVALHO, ALEXANDRE N.; PEREIRA, MARCONE C.; SILVA, RICARDO P.. Semilinear parabolic problems in thin domains with a highly oscillatory boundary. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 74, n. 15, p. 5111-5132, 2011. Web of Science Citations: 32. (10/18790-0)
ARRIETA, JOSE M.; PEREIRA, MARCONE C.. Homogenization in a thin domain with an oscillatory boundary. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v. 96, n. 1, p. 29-57, JUL 2011. Web of Science Citations: 31.
CARVALHO, A. N.; CHOLEWA, J. W.; DLOTKO, TOMASZ. DAMPED WAVE EQUATIONS WITH FAST GROWING DISSIPATIVE NONLINEARITIES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 24, n. 4, p. 1147-1165, AUG 2009. Web of Science Citations: 16. (03/10042-0)
CARABALLO, TOMAS; CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; RIVERO, FELIPE. Existence of pullback attractors for pullback asymptotically compact processes. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 72, n. 3-4, p. 1967-1976, FEB 1 2010. Web of Science Citations: 36.
ARRIETA, JOSE M.; CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; RODRIGUEZ-BERNAL, ANIBAL. Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations. Journal of Dynamics and Differential Equations, v. 24, n. 3, p. 427-481, SEP 2012. Web of Science Citations: 2. (03/10042-0)
CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; ROBINSON, JAMES C.. On the continuity of pullback attractors for evolution processes. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 71, n. 5-6, p. 1812-1824, SEP 1 2009. Web of Science Citations: 23.
ARRIETA, JOSE M.; CARVALHO, ALEXANDRE N.; LOZADA-CRUZ, GERMAN. Dynamics in dumbbell domains II. The limiting problem. Journal of Differential Equations, v. 247, n. 1, p. 174-202, JUL 1 2009. Web of Science Citations: 22. (07/00981-0, 06/04781-3)
ARRIETA, JOSE M.; CARVALHO, ALEXANDRE N.; LOZADA-CRUZ, GERMAN. Dynamics in dumbbell domains III. Continuity of attractors. Journal of Differential Equations, v. 247, n. 1, p. 225-259, JUL 1 2009. Web of Science Citations: 22. (06/04781-3)
CARABALLO, TOMAS; CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; RIVERO, FELIPE. A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 74, n. 6, p. 2272-2283, MAR 15 2011. Web of Science Citations: 11.
CUI, HONGYONG; CARVALHO, ALEXANDRE N.; CUNHA, ARTHUR C.; LANGA, JOSE A.. Smoothing and finite-dimensionality of uniform attractors in Banach spaces. Journal of Differential Equations, v. 285, p. 383-428, JUN 5 2021. Web of Science Citations: 0. (18/10997-6, 18/10634-0, 16/26289-5)
PIMENTEL, EDGARD A.; TEIXEIRA, EDUARDO V.. Sharp Hessian integrability estimates for nonlinear elliptic equations: An asymptotic approach. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v. 106, n. 4, p. 744-767, OCT 2016. Web of Science Citations: 5. (14/15795-1, 15/13011-6)
DA COSTA, HENRIQUE B.; VALERO, JOSE. Morse decompositions and Lyapunov functions for dynamically gradient multivalued semiflows. NONLINEAR DYNAMICS, v. 84, n. 1, SI, p. 19-34, APR 2016. Web of Science Citations: 2. (11/21456-7)
CARVALHO, ALEXANDRE N.; CHOLEWA, JAN W.. NLS-LIKE EQUATIONS IN BOUNDED DOMAINS: PARABOLIC APPROXIMATION PROCEDURE. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 23, n. 1, SI, p. 57-77, JAN 2018. Web of Science Citations: 0. (03/10042-0)
LAPPICY, PHILLIPO; FIEDLER, BERNOLD. A Lyapunov function for fully nonlinear parabolic equations in one spatial variable. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 13, n. 1, p. 283-291, JUN 2019. Web of Science Citations: 1. (17/07882-0)
BEZERRA, FLANK D. M.; CARBONE, VERA L.; NASCIMENTO, MARCELO J. D.; SCHIABEL, KARINA. PULLBACK ATTRACTORS FOR A CLASS OF NON-AUTONOMOUS THERMOELASTIC PLATE SYSTEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 23, n. 9, p. 3553-3571, NOV 2018. Web of Science Citations: 2. (14/03686-3, 14/03109-6)
PEREIRA, MARCONE C.. Parabolic problems in highly oscillating thin domains. Annali di Matematica Pura ed Applicata, v. 194, n. 4, p. 1203-1244, AUG 2015. Web of Science Citations: 5. (13/22275-1)
BROCHE, RITA DE CASSIA D. S.; CARVALHO, ALEXANDRE N.; VALERO, JOSE. A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics. Nonlinearity, v. 32, n. 12, p. 4912-4941, DEC 2019. Web of Science Citations: 0. (03/10042-0)
CARVALHO, ALEXANDRE N.; PIRES, LEONARDO. PARABOLIC EQUATIONS WITH LOCALIZED LARGE DIFFUSION: RATE OF CONVERGENCE OF ATTRACTORS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 53, n. 1, p. 1-23, MAR 2019. Web of Science Citations: 0. (18/10997-6)
CARABALLO, TOMAS; CARVALHO, ALEXANDRE N.; DA COSTA, HENRIQUE B.; LANGA, JOSE A.. EQUI-ATTRACTION AND CONTINUITY OF ATTRACTORS FOR SKEW-PRODUCT SEMIFLOWS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 21, n. 9, SI, p. 2949-2967, NOV 2016. Web of Science Citations: 0.
LI, YANAN; CARVALHO, ALEXANDRE N.; LUNA, TITO L. M.; MOREIRA, ESTEFANI M.. A NON-AUTONOMOUS BIFURCATION PROBLEM FOR A NON-LOCAL SCALAR ONE-DIMENSIONAL PARABOLIC EQUATION. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 19, n. 11, p. 5181-5196, NOV 2020. Web of Science Citations: 0. (19/20341-3, 18/10997-6, 18/00065-9)
BEZERRA, FLANK D. M.; CARVALHO, ALEXANDRE N.; NASCIMENTO, MARCELO J. D.. FRACTIONAL APPROXIMATIONS OF ABSTRACT SEMILINEAR PARABOLIC PROBLEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 25, n. 11, p. 4221-4255, SEP 2020. Web of Science Citations: 0. (03/10042-0, 14/03686-3, 17/06582-2)
BORTOLAN, M. C.; CARDOSO, C. A. E. N.; CARVALHO, A. N.; PIRES, L.. Lipschitz perturbations of Morse-Smale semigroups. Journal of Differential Equations, v. 269, n. 3, p. 1904-1943, JUL 15 2020. Web of Science Citations: 0. (12/00033-3, 18/10997-6)
LAPPICY, PHILLIPO; PIMENTEL, JULIANA. Slowly non-dissipative equations with oscillating growth. PORTUGALIAE MATHEMATICA, v. 75, n. 3-4, p. 313-327, 2018. Web of Science Citations: 0. (16/04925-7, 17/07882-0)
ARRIETA, JOSE M.; PEREIRA, MARCONE C.. The Neumann problem in thin domains with very highly oscillatory boundaries. Journal of Mathematical Analysis and Applications, v. 404, n. 1, p. 86-104, AUG 1 2013. Web of Science Citations: 20. (11/08929-3, 10/18790-0)
PEREIRA, MARCONE C.. Remarks on semilinear parabolic systems with terms concentrating in the boundary. Nonlinear Analysis: Real World Applications, v. 14, n. 4, p. 1921-1930, AUG 2013. Web of Science Citations: 4. (10/18790-0)
BEZERRA, FLANK D. M.; CARBONE, VERA L.; NASCIMENTO, MARCELO J. D.; SCHIABEL, KARINA. REGULARITY AND UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR A CLASS OF NONAUTONOMOUS THERMOELASTIC PLATE SYSTEMS. PACIFIC JOURNAL OF MATHEMATICS, v. 301, n. 2, p. 395-419, AUG 2019. Web of Science Citations: 0. (14/03686-3, 17/06582-2)
CABALLERO, RUBKN; CARVALHO, ALEXANDRE N.; MARIN-RUBIO, PEDRO; VALERO, JOSE. ROBUSTNESS OF DYNAMICALLY GRADIENT MULTIVALUED DYNAMICAL SYSTEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 24, n. 3, SI, p. 1049-1077, MAR 2019. Web of Science Citations: 1. (18/10997-6)
ARRIETA, JOSE M.; BEZERRA, FLANK D. M.; CARVALHO, ALEXANDRE N.. RATE OF CONVERGENCE OF GLOBAL ATTRACTORS OF SOME PERTURBED REACTION-DIFFUSION PROBLEMS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 41, n. 2, p. 229-253, JUN 2013. Web of Science Citations: 4.
FIEDLER, BERNOLD; OLIVA, SERGIO MUNIZ. Delayed Feedback Control of a Delay Equation at Hopf Bifurcation. Journal of Dynamics and Differential Equations, v. 28, n. 3-4, SI, p. 1357-1391, SEP 2016. Web of Science Citations: 4.
DA COSTA, HENRIQUE B.; VALERO, JOSE. Morse Decompositions with Infinite Components for Multivalued Semiflows. Set-Valued and Variational Analysis, v. 25, n. 1, p. 25-41, MAR 2017. Web of Science Citations: 2. (11/21456-7)
BEZERRA, F. D. M.; NASCIMENTO, M. J. D.; DA SILVA, S. H.. A class of dissipative nonautonomous nonlocal second-order evolution equations. APPLICABLE ANALYSIS, v. 96, n. 13, p. 2180-2191, 2017. Web of Science Citations: 2. (14/03686-3, 14/03109-6)
BEZERRA, FLANK D. M.; CARVALHO, ALEXANDRE N.; DLOTKO, TOMASZ; NASCIMENTO, MARCELO J. D.. Fractional Schrodinger equation; solvability and connection with classical Schrodinger equation. Journal of Mathematical Analysis and Applications, v. 457, n. 1, p. 336-360, JAN 1 2018. Web of Science Citations: 2. (03/10042-0, 14/03686-3, 13/10341-0)
PIMENTEL, JULIANA F. S.. UNBOUNDED STURM GLOBAL ATTRACTORS FOR SEMILINEAR PARABOLIC EQUATIONS ON THE CIRCLE. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v. 48, n. 6, p. 3860-3882, 2016. Web of Science Citations: 1. (14/03685-7)
PEREIRA, MARCONE C.; SILVA, RICARDO P.. CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE. QUARTERLY OF APPLIED MATHEMATICS, v. 73, n. 3, p. 537-552, 2015. Web of Science Citations: 8. (12/06753-8)
BEZERRA, F. D. M.; CARVALHO, A. N.; CHOLEWA, J. W.; NASCIMENTO, M. J. D.. Parabolic approximation of damped wave equations via fractional powers: Fast growing nonlinearities and continuity of the dynamics. Journal of Mathematical Analysis and Applications, v. 450, n. 1, p. 377-405, JUN 1 2017. Web of Science Citations: 4. (03/10042-0, 14/03686-3, 14/03109-6)
ARAGAO, GLEICIANE S.; PEREIRA, ANTONIO L.; PEREIRA, MARCONE C.. Attractors for a Nonlinear Parabolic Problem with Terms Concentrating on the Boundary. Journal of Dynamics and Differential Equations, v. 26, n. 4, p. 871-888, DEC 2014. Web of Science Citations: 9. (10/18790-0)
BONOTTO, E. M.; BORTOLAN, M. C.; CARVALHO, A. N.; CZAJA, R.. Global attractors for impulsive dynamical systems - a precompact approach. Journal of Differential Equations, v. 259, n. 7, p. 2602-2625, OCT 5 2015. Web of Science Citations: 16. (12/23724-1, 12/16709-6)
CARVALHO, ALEXANDRE N.; LANGA, JOSE A.; ROBINSON, JAMES C.. Finite-dimensional global attractors in Banach spaces. Journal of Differential Equations, v. 249, n. 12, p. 3099-3109, DEC 15 2010. Web of Science Citations: 0.
CARVALHO, ALEXANDRE N.; DLOTKO, TOMASZ; NASCIMENTO, MARCELO J. D.. Non-autonomous semilinear evolution equations with almost sectorial operators. JOURNAL OF EVOLUTION EQUATIONS, v. 8, n. 4, p. 631-659, 2008. Web of Science Citations: 9. (03/10042-0, 07/51373-0)
CARVALHO, A. N.; LANGA, J. A.; ROBINSON, J. C.. STRUCTURE AND BIFURCATION OF PULLBACK ATTRACTORS IN A NON-AUTONOMOUS CHAFEE-INFANTE EQUATION. Proceedings of the American Mathematical Society, v. 140, n. 7, p. 2357-2373, JUL 2012. Web of Science Citations: 4.
RODRIGUES‚ H.M.; SOLA-MORALES‚ J.. An invertible contraction that is not C1-linearizable. COMPTES RENDUS MATHEMATIQUE, v. 340, n. 11, p. 847-850, 2005. (03/10042-0)
RODRIGUES‚ H.M.; SOLA-MORALES‚ J.. Invertible Contractions and Asymptotically Stable ODE’S that are not-Linearizable. Journal of Dynamics and Differential Equations, v. 18, n. 4, p. 961-974, 2006. (03/10042-0)
BEZERRA, FLANK D. M.; PEREIRA, ANTONIO L.; DA SILVA, SEVERINO H.. Existence and continuity of global attractors and nonhomogeneous equilibria for a class of evolution equations with non local terms. Journal of Mathematical Analysis and Applications, v. 396, n. 2, p. 590-600, DEC 15 2012. Web of Science Citations: 8. (03/10042-0, 11/04166-5)
CARVALHO, ALEXANDRE N.; SONNER, STEFANIE. PULLBACK EXPONENTIAL ATTRACTORS FOR EVOLUTION PROCESSES IN BANACH SPACES: THEORETICAL RESULTS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 12, n. 6, p. 3047-3071, NOV 2013. Web of Science Citations: 14.
CAPELATO, E.; SCHIABEL-SILVA, K.; SILVA, R. P.. Perturbation of a nonautonomous problem in R-n. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 36, n. 12, p. 1625-1630, AUG 2013. Web of Science Citations: 6.
ARAGAO-COSTA, E. R.; CARABALLO, T.; CARVALHO, A. N.; LANGA, J. A.. Stability of gradient semigroups under perturbations. Nonlinearity, v. 24, n. 7, p. 2099-2117, JUL 2011. Web of Science Citations: 24.
(References retrieved automatically from State of São Paulo Research Institutions)
SILVA, Alex Pereira da. Um estudo da teoria das dimensões aplicado a sistemas dinâmicos. Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (12/23783-8)
SILVA, Ricardo Parreira da. "Problemas parabólicos semilineares com expoente crítico em escalas de interpolação". Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (01/10260-2)
SILVA, Ricardo Parreira da. Semicontinuidade inferior de atratores para problemas parabólicos em domínios finos. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (03/12611-2)
BEZERRA, Flank David Morais. Taxa de convergência de atratores de algumas equações de reação-difusão perturbadas.. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (06/57231-0)
NASCIMENTO, Marcelo José Dias. Problemas parabólicos selineares singularmente não autônomos com expoentes críticos. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (02/11855-2)
BORTOLAN, Matheus Cheque. Structure of attractors and estimates of their fractal dimension. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (10/50690-5)
CARDOSO, Cesar Augusto Esteves das Neves. Continuidade de atratores globais: o uso de corretores para a obtenção de melhores taxas de convergência. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (12/00033-3)
CRUZ, German Jesus Lozada. Comportamento assintótico de problemas parabólicos em domínios tipo Dumbbell. 132 f. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação de São Carlos. Universidade de São Paulo (USP). São Carlos. (00/01479-8)
COSTA, Henrique Barbosa da. Continuidade de atratores para sistemas dinâmicos: decomposição de Morse, equi-atração e domínios ilimitados. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (11/21456-7)
ALVES, Fernanda Tomé. Blow-up de soluções positivas de equações semilineares. Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (03/09888-2)
NETO, Paulo Mendes de Carvalho. Fractional differential equations: a novel study of local and global solutions in Banach spaces. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (08/58944-6)
LEVA, Pedro David Huillca. Geração de semigrupos por operadores elípticos em L POT. 2 (OMEGA) e C INF. 0 (OMEGA). Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (12/16814-4)
COSTA, Éder Ritis Aragão. Sistemas gradientes, decomposição de Morse e funções de Lyapunov sob perturbação. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (08/50248-0)
GAIOTTO, Monica Regina. Critérios Abstratos de Comparação e Aplicações. Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (98/00575-1)