Transversality of stable and unstable manifolds for parabolic problems arising in composite materials

DOI10.1016/j.jmaa.2004.08.037zbMath1113.35099OpenAlexW1969836144MaRDI QIDQ1766701

José Gaspar Ruas-Filho, Vera Lúcia Carbone

Publication date: 8 March 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.08.037

zbMATH Keywords

one-space dimensionTransversalityParabolic problemsStable and unstable manifoldsSturm-Liouville property

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) General topics in linear spectral theory for PDEs (35P05) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (3)

Reaction-diffusion systems coupled at the boundary and the Morse-Smale property ⋮ Continuity of attractors for parabolic problems with localized large diffusion ⋮ Continuity of the attractors in a singular problem arising in composite materials

Cites Work

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• Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
• The Morse-Smale property for a semilinear parabolic equation
• Geometric theory of semilinear parabolic equations
• Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions

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