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2012-01-01
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-up phenomenon is
analyzed. Finally, the blow up rate is given for some particular
sources.
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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Derechos de autor 2012 Revista Colombiana de Matemáticas
Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.
