Abstract

BOGOYA, MAURICIO. Blow-up for a Nonlocal Nonlinear Diffusion Equation with Source. Rev.colomb.mat. [online]. 2012, vol.46, n.1, pp.1-13. ISSN 0034-7426.

We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in 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.

Keywords : Nonlocal diffusion; Neumann boundary conditions; Blow-up.

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