Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899512 | Journal of Mathematical Analysis and Applications | 2018 | 26 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pedro T. P. Lopes, Marcone C. Pereira,