On convergence and compactness in parabolic problems with globally large diffusion and nonlinear boundary conditions
Keywords
Conley index, homology index braids, localized large diffusion, singular perturbationsAbstract
We establish some abstract convergence and compactness results for families of singularly perturbed semilinear parabolic equations and apply them to reaction-diffusion equations with nonlinear boundary conditions and large diffusion. This refines some previous results of [R. Willie, < i> A semilinear reaction-diffusion system of equations and large diffusion< /i> , J. Dynam. Differential Equations < b> 16< /b> (2004), 35-63].Downloads
Published
2012-04-23
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1.
CARBINATTO, Maria C. and RYBAKOWSKI, Krzysztof P. On convergence and compactness in parabolic problems with globally large diffusion and nonlinear boundary conditions. Topological Methods in Nonlinear Analysis. Online. 23 April 2012. Vol. 40, no. 1, pp. 1 - 28. [Accessed 19 April 2024].
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