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Título del libro: Recent Progress On Reaction-Diffusion Systems And Viscosity Solutions
Título del capítulo: Long-Time dynamics in semi linear parabolic problems with autocatalysis

Autores UNAM:
NILS HEYE ACKERMANN;
Autores externos:

Idioma:
Inglés
Año de publicación:
2009
Palabras clave:

Connecting orbit; Equilibrium; Indefinite superlinear problem; Nodal properties; Superlinear subcritical nonlinearity


Resumen:

The discovery of a priori bounds for semilinear parabolic equations with superlinear nonlinearity enables the use of the parabolic semiflow in proving existence results for equilibria, as an alternative to minimax methods from the calculus of variations. We present an overview of results that use this approach, discuss its shortcomings and advantages, and outline possible future research directions. © World Scientific Publishing Co., All rights reserved.


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