CV Lattes
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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation for the last research proposal) Birthplace: Brazil
Undergraduate in Mathematics at Federal University of Parana/PR/Brazil (1999), Master's (2003) and Ph.D. (2005) in Mathematics at Federal University of São Carlos. Has experience in Mathematics, focusing on Partial Differential Equations Harmonic Analysis, Several Complex Variables and Geometric Measure Theory. (Source: Lattes Curriculum)
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The aim of this research is to study the general properties of solutions (existence, regularity, unique continuation, etc.) of (systems of) complex vector fields and its connection to the theory of holomorphic functions of several variables. (AU)
The goal of this research project is to continue the investigation of the project under the framework of the program \textit{ Auxílio à Pesquisa} 2017/03825-1, to study qualitative properties of partial differential equations, as well its connexions with Geometric Measure Theory, Harmonic Analysis and Several Complex Variables. In particular we propose to study i) microlocal analysis;ii) …
We want to study regularity of partial differential equations inthe space of global $L^q$ Gevrey functions, recently introduced in [Z. Adwan, G. Hoepfner, and A. Raich, Global Lq-Gevrey functions and their applications, J. Geom. Anal. 27 (2017), no. 3, 1874-1913.] and [G. Hoepfner and A. Raich, Global Lq Gevrey functions, Paley-Weiner theorems, and the FBI transform, to appear, Indiana U…
(Only some records are available in English at this moment)
This project is in great part the natural extension of the work realized in the Ph.D. Thesis of the candidate, which in turn is the extension of the Caetano’s Ph.D. Thesis, [10], and of the papers of Cordaro, [13], and Caetano and Cordaro, [11]. Both the candidate and the supervisor believe that the techniques involved in the study of infinite order operators can be applied in other conte…
The goal of this research project is to study topics of Harmonic Analysis, Partial Differential Equations and Functional Analysis. The main topic to be addressed is Guy David and Jean-Lin Journée's Theorem T(1) which provide necessary and sufficient conditions for which Calderón-Zygmund operators are bounded in L^2. Generalizations include similar characterizations for boundedness of ope…
Questions about the extendability of CR maps have motivated several works in the last 40 years. One of the most successful techniques involves a generalization of Schwarz reflection principle. It is well known that the reflection principle does not hold in general for several complex variables, however, it holds under certain hypotheses of nondegeneracy. The goal of this project is to inv…
The goal of this research project is to continue the investigation on the qualitative properties of partial differential equations, as well its connexions with Geometric Measure Theory, Harmonic Analysis and Several Complex Variables. In particular we propose to study i) microlocal analysis of solutions of non linear PDE's; ii) elliptic boundary value problems in non-smooth domains via a…
| 1 / 1 | Ongoing research grants |
| 17 / 14 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 6 / 1 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 27 / 19 | 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 | 8 |
| Citations | 6 |
| Cit./Article | 0.8 |
| Data from Web of Science | |
HOEPFNER, G.; HOUNIE, J.; PICON, T.. Div-curl type estimates for elliptic systems of complex vector fields. Journal of Mathematical Analysis and Applications, v. 429, n. 2, p. 774-799, SEP 15 2015. Web of Science Citations: 2. (12/03168-7, 13/17636-5, 14/22054-8)
HOEPFNER, G.; KAPP, R.; PICON, T.. On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces. POTENTIAL ANALYSIS, JUL 2020. Web of Science Citations: 0. (19/04995-3, 18/14316-3, 18/15484-7)
HOEPFNER, GUSTAVO; LIBONI, PAULO; MITREA, DORINA; MITREA, IRINA; MITREA, MARIUS. MULTILAYER POTENTIALS FOR HIGHER-ORDER SYSTEMS IN ROUGH DOMAINS. ANALYSIS & PDE, v. 14, n. 4, p. 1233-1308, 2021. Web of Science Citations: 0. (19/04995-3)
HOEPFNER, G.; KAPP, R.; PICON, T.. On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces. POTENTIAL ANALYSIS, v. 55, n. 3, p. 491-512, OCT 2021. Web of Science Citations: 0. (18/14316-3, 19/04995-3, 18/15484-7)
HOEPFNER, GUSTAVO; RAICH, ANDREW. Microglobal regularity and the global wavefront set. MATHEMATISCHE ZEITSCHRIFT, v. 291, n. 3-4, p. 971-998, APR 2019. Web of Science Citations: 1. (17/06993-2, 17/03825-1, 18/02663-0)
HOEPFNER, G.; MEDRADO, R.. MICROLOCAL REGULARITY FOR MIZOHATA TYPE DIFFERENTIAL OPERATORS. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, v. 19, n. 4, p. 1185-1209, JUL 2020. Web of Science Citations: 0. (17/06993-2, 17/03825-1)
HOEPFNER, G.; MEDRADO, R.. The FBI transforms and their use in microlocal analysis. JOURNAL OF FUNCTIONAL ANALYSIS, v. 275, n. 5, p. 1208-1258, SEP 1 2018. Web of Science Citations: 2. (17/06993-2, 17/03825-1)
COACALLE, JOEL; RAICH, ANDREW. Closed Range Estimates for (partial derivative)over-bar(b) on CR Manifolds of Hypersurface Type. JOURNAL OF GEOMETRIC ANALYSIS, v. 31, n. 1, p. 366-394, JAN 2021. Web of Science Citations: 1. (18/02663-0)