| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842349 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 8 Pages |
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∈RNΩ∈RN with N≥1N≥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.
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Authors
Mauricio Bogoya,