Localized singularities and the Conley index
Słowa kluczowe
Conley index, homology index braids, localized large diffusion, singular perturbationsAbstrakt
We establish some abstract convergence and Conley index continuation principles for families of singularly perturbed semilinear parabolic equations and apply them to reaction-diffusion equations with nonlinear boundary conditions and localized large diffusion. This extends and refines previous results of [A. Rodriguez-Bernal, < i> Localized spatial homogenization and large diffusion< /i> , SIAM J. Math. Anal. < b> 29< /b> (1998), 1361-1380] and [J.M. Arrieta, A.N. Carvalho and A. Rodr\'{\i}guez-Bernal, < i> Parabolic problems with nonlinear boundary conditions and critical nonlinearities< /i> , J. Differential Equations < b> 156< /b> (1999), 376-406].Pobrania
Opublikowane
2011-04-23
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1.
CARBINATTO, Maria C. & RYBAKOWSKI, Krzysztof P. Localized singularities and the Conley index. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2011, T. 37, nr 1, s. 1–35. [udostępniono 22.7.2024].
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