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Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition
- Source :
-
Mathematical & Computer Modelling . Jul2011, Vol. 54 Issue 1/2, p203-209. 7p. - Publication Year :
- 2011
-
Abstract
- Abstract: This paper is concerned with a nonlocal diffusion equation with Dirichlet boundary conditions and a reaction term Our main result shows that this nonlocal diffusion problem has a critical exponent which coincides with that of the corresponding local diffusion problem. The blow-up rate of solutions is also discussed. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08957177
- Volume :
- 54
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Mathematical & Computer Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 60380210
- Full Text :
- https://doi.org/10.1016/j.mcm.2011.02.002