Blow-up for a nonlocal nonlinear diffusion equation with source
We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in $\mathbb{R}^N$ with a smooth boundary. We prove existence, uniqueness of solutions and we give a comparison principle for its solutions. The blow...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2012 |
| Country: | Colombia |
| Institution: | Universidad Nacional de Colombia |
| Repository: | Repositorio UN |
| Language: | Spanish |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/42247 |
| Online Access: | https://repositorio.unal.edu.co/handle/unal/42247 http://bdigital.unal.edu.co/32344/ |
| Access Level: | Open access |
| Keyword: | Nonlocal diffusion Neumann boundary conditions Blow-up 35K57 35B40 |
| Summary: | We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in $\mathbb{R}^N$ with a smooth boundary. We prove existence, uniqueness of solutions and we give a comparison principle for its solutions. The blow-up phenomenon is analyzed. Finally, the blow up rate is given for some particular sources. |
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