A nonlinear parabolic equation with a nonlocal boundary term |
| |
Authors: | Mariá n Slodi?ka,Sofiane Dehilis |
| |
Affiliation: | Department of Mathematical Analysis, Ghent University, Galglaan 2, 9000 Gent, Belgium |
| |
Abstract: | ![]() A nonlinear parabolic problem with a nonlocal boundary condition is studied. We prove the existence of a solution for a monotonically increasing and Lipschitz continuous nonlinearity. The approximation method is based on Rothe’s method. The solution on each time step is obtained by iterations, convergence of which is shown using a fixed-point argument. The space discretization relies on FEM. Theoretical results are supported by numerical experiments. |
| |
Keywords: | 35K55 |
本文献已被 ScienceDirect 等数据库收录! |
|