Biblioteca de la Universidad Complutense de Madrid

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

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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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URL Oficial: http://www.ams.org/publications/journals/journalsframework/proc



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Local boundedness at the boundary; Nonlinear boundary conditions; Bounded solutions; Blow-up
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:13917
Depositado:18 Nov 2011 08:22
Última Modificación:06 Feb 2014 09:55

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