Janete Crema, Arnaldo Simal do Nascimento, Maicon Sonego
Abstract:
A reaction-diffusion equation with variable diffusivity and
nonlinear flux boundary condition is considered. The goal is to
give sufficient conditions on the diffusivity function for
nonexistence and also for existence of nonconstant stable
stationary solutions. Applications are given for the main result of
nonexistence.
Submitted June 27, 2011. Published April 12, 2012.
Math Subject Classifications: 35J25, 35B35, 35B36.
Key Words: Reaction-diffusion equation; stable stationary solutions;
variable diffusivity; implicit function theorem.
Show me the PDF file (270 KB), TEX file, and other files for this article.
 |
Janete Crema Instituto de Ciências Matemáticas e de Computação USP, S. Carlos, S. P., Brasil email: janete@icmc.sc.usp.br |
|---|---|
 |
Arnaldo S. do Nascimento Departamento de Matemática Universidade Federal de São Carlos S. Carlos, S. P., Brasil email: arnaldon@dm.ufscar.br |
 |
Maicon Sonego Departamento de Matemática Universidade Federal de São Carlos S. Carlos, S. P., Brasil email: sonego@dm.ufscar.br |
Return to the EJDE web page