Blowing up boundary conditions for a nonlocal nonlinear diffusion equation in several space dimensions |
| |
Authors: | Mauricio Bogoya |
| |
Institution: | Departamento de Matematicas, Universidad Nacional de Colombia, Bogotá, Colombia |
| |
Abstract: | We analyze boundary value problems prescribing Dirichlet or Neumann boundary conditions for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation in a bounded smooth domain Ω∈RN with N≥1. First, we prove existence and uniqueness of solutions and the validity of a comparison principle for these problems. Next, we impose boundary data that blow up in finite time and study the behavior of the solutions. |
| |
Keywords: | 35K57 35B40 |
本文献已被 ScienceDirect 等数据库收录! |
|