Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive-diffusive type
Analysis of PDEs
2017-05-17 v2 Dynamical Systems
Abstract
We investigate classical solutions of nonlinear elliptic equations with two classes of dynamical boundary conditions, of reactive and reactive-diffusive type. In the latter case it is shown that well-posedness is to a large extent independent of the coupling with the elliptic equation. For both types of boundary conditions we consider blow-up, global existence, global attractors and convergence to single equilibria.
Cite
@article{arxiv.1204.1251,
title = {Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive-diffusive type},
author = {Ciprian G. Gal and Martin Meyries},
journal= {arXiv preprint arXiv:1204.1251},
year = {2017}
}
Comments
31 pages