Blowup for Nonlocal Nonlinear Diffusion Equations with Dirichlet Condition and a Source
This paper is concerned with a nonlocal nonlinear diffusion equation with Dirichlet boundary condition and a source , , , , , , and , , which is analogous to the local porous medium equation. First, we prove the existence and uniqueness of the solution as well as the validity of a compariso...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/746086 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper is concerned with a nonlocal nonlinear diffusion equation with Dirichlet boundary condition and a source , , ,
, , , and , , which is analogous to the local porous medium equation. First, we prove the existence and uniqueness of the solution as well as the validity of a comparison principle. Next, we discuss the blowup phenomena of the solution to this problem. Finally, we discuss the blowup rates and sets of the solution. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |