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On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions

Arrieta Algarra, José María (2008) On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions. Proceedings of the American Mathematical Society, 136 (1). 151-160 . ISSN 0002-9939

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Abstract

We give conditions on the nonlinearities of a reaction-diffusion equation with nonlinear boundary conditions that guarantee that any solution starting at bounded initial data is bounded locally around a certain point x0 of the boundary, uniformly for all positive time. The conditions imposed are of a local nature and need only to hold in a small neighborhood of the point x0.

Item Type:Article
Uncontrolled Keywords:Local boundedness at the boundary; Nonlinear boundary conditions; Bounded solutions; Blow-up
Subjects:Sciences > Mathematics > Differential equations
ID Code:13917
Deposited On:18 Nov 2011 08:22
Last Modified:06 Feb 2014 09:55

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