Abstract
This project will cover techniques for studying the qualitative properties of solutions of differential equations, avoiding the use of explicit solutions for analyzing the robustness of a system of differential equations.
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Karina Schiabel
CV Lattes
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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduate at Bacharelado em Matemática from Universidade de São Paulo (1999), master's at Mathematics from Universidade de São Paulo (2002) and ph.d. at Mathematics from Universidade de São Paulo (2006). Has experience in Mathematics, focusing on Mathematics (Source: Lattes Curriculum)
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Scholarships in Brazil
- Semilinear evolution problems with almost sectorial operators, BP.DR
Abstract
The aim of this project is to study the asymptotic behavior of solutions of the problem u_t = A(t)u + f(t,u), t>t_0 u(t_0) = u_0.More specifically, we intend to obtain results on existence, uniform estimates and semicontinuities of pullback attractors for the problem above, when the operatorA(t) generates a semigroup of growth \alpha, for some \alpha>0, and the nonlinearity f is regular…
- Fourier analysis, BP.IC
Abstract
The subject of this work is the study of the concept and properties of the Fourier series and Fourier transform. (AU)
- Weak derivatives and Sobolev Spaces, BP.IC
Abstract
The subject of this work is the study of the concept and properties of the Sobolev spaces $W^{m.p}$.
(Only some records are available in English at this moment)
Scholarships abroad
- Upper and lower semicontinuities of attractors for evolution problems with almost sectorial operators, BE.EP.DR
Abstract
The aim of this project is to study the asymptotic behavior of solutions of the problem u_t = A(t)u + f(t,u), t>t_0 u(t_0) = u_0. More specifically, we intend to obtain results on upper and lower semicontinuities of pullback attractors for the problem above, when the operator A(t) generates a semigroup of growth \alpha, for some \alpha>0, and the nonlinearity f is regular enough.
- Dependence on pullback attractors for equations with nonautonomous nonlinear boundary conditions, BE.PQ
Total / Available in English
| 1 / 1 | Ongoing scholarships in Brazil |
| 8 / 6 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 11 / 9 | All Scholarships |
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