| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Seville, Dpto Ecuac Diferenciales & Anal Numer, Fac Matemat, Tarfia S-N, E-41012 Seville - Spain
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 16, n. 6, p. 2337-2355, NOV 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
The objective of this paper is to study a perturbed linear hyperbolic differential equation. The first part of this work is dedicated to study perturbation of the equilibrium (special solution) of a perturbed hyperbolic system. On the second part we analyze the stable and the unstable manifolds of a perturbed semilinear differential equation. We assume that the perturbed forcing function belongs to an L-2 class and that it is developed in a series of wavelets. Then we analyze the effect of this development on the special solution of the perturbed equation. Similar study is provided for the stable and unstable manifolds of this special solutions. (AU) | |
| FAPESP's process: | 13/07460-7 - Rigorous computations for PDEs |
| Grantee: | Marcio Fuzeto Gameiro |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/21032-6 - Analysis of fluid dynamics data via persistent homology |
| Grantee: | Marcio Fuzeto Gameiro |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 16/08704-5 - Rigorous computations in dynamics |
| Grantee: | Marcio Fuzeto Gameiro |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 15/19165-5 - Mathematical Analysis, Diferentiation, Lebesgue Integral and Functional Analysis |
| Grantee: | Henrique Pimenta Marçal |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |