Localized singularities and the Conley index
Keywords
Conley index, homology index braids, localized large diffusion, singular perturbationsAbstract
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].Downloads
Published
2011-04-23
How to Cite
1.
CARBINATTO, Maria C. and RYBAKOWSKI, Krzysztof P. Localized singularities and the Conley index. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 37, no. 1, pp. 1 - 35. [Accessed 19 April 2024].
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