| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 465, n. 1, p. 379-402, SEP 1 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, we study existence, uniqueness and asymptotic behavior of the Laplace equation with dynamical boundary conditions on regular non-cylindrical domains. We write the problem as a non-autonomous Dirichlet-to-Neumann operator and use form methods in a more general framework to accomplish our goal. A class of non-autonomous elliptic problems with dynamical boundary conditions on Lipschitz domains is also considered in this same context. (C) 2018 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 16/07016-8 - Applications of pseudo-differential methods to boundary value problems |
| Grantee: | Pedro Tavares Paes Lopes |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/02630-2 - Asymptotic analysis in differential and integral equations |
| Grantee: | Marcone Corrêa Pereira |
| Support Opportunities: | Regular Research Grants |