On convergence and compactness in parabolic problems with globally large diffusion and nonlinear boundary conditions
Słowa kluczowe
Conley index, homology index braids, localized large diffusion, singular perturbationsAbstrakt
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].Pobrania
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2012-04-23
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CARBINATTO, Maria C. & 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 kwiecień 2012, T. 40, nr 1, s. 1–28. [udostępniono 22.7.2024].
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