| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613413 | Journal of Differential Equations | 2007 | 31 Pages |
Abstract
We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior of solutions for some prescribed boundary data including blowing up ones. Finally, we look at a nonlinear flux boundary condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
