On a general Conley index continuation principle for singular perturbation problems

DOI10.1017/S0143385702000378zbMath1012.37011OpenAlexW2088446671MaRDI QIDQ3150505

Krzysztof P. Rybakowski, Maria C. Carbinatto

Publication date: 17 October 2002

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385702000378

zbMATH Keywords

thin domainsConley indexreaction-diffusion equationscontinuationdamped wave equationsingularly perturbed problems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Index theory for dynamical systems, Morse-Conley indices (37B30) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (5)

Conley index and tubular neighborhoods. II. ⋮ Conley index for manifold-valued retarded functional differential equations without uniqueness of solutions ⋮ Global dynamic bifurcation of local semiflows and nonlinear evolution equations ⋮ Nested sequences of index filtrations and continuation of the connection matrix ⋮ Singular dynamics of strongly damped beam equation

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