On spectral convergence for some parabolic problems with locally large diffusion

DOI10.12775/TMNA.2018.025zbMath1419.35105OpenAlexW2900037743MaRDI QIDQ1741790

Krzysztof P. Rybakowski, Maria C. Carbinatto

Publication date: 7 May 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1541473240

zbMATH Keywords

singular perturbationsConley indexlocalized large diffusionspectra convergence

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (1)

Conley index continuation for a singularly perturbed periodic boundary value problem

Cites Work

• A note on Conley index and some parabolic problems with locally large diffusion
• On the explicit construction of an ODE which has the same dynamics as a scalar parabolic PDE
• A scalar parabolic equation whose asymptotic behavior is dictated by a system of ordinary differential equations
• Infinite dimensional dynamics described by ordinary differential equations
• Reaction-diffusion problems in cell tissues
• Reduction of Infinite Dimensional Systems to Finite Dimensions: Compact Convergence Approach

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