The Conley index along heteroclinic trajectories of reaction-diffusion equations

DOI10.1016/j.jde.2012.01.012zbMath1263.35144OpenAlexW2074595067MaRDI QIDQ763749

Axel Jänig

Publication date: 29 March 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.01.012

zbMATH Keywords

connecting orbits

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear differential equations in abstract spaces (34G20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Nonlinear evolution equations (47J35)

Related Items (3)

Equilibrium-like solutions of asymptotically autonomous differential equations ⋮ Nonautonomous Conley index theory the connecting homomorphism ⋮ On the Morse complex for semilinear parabolic equations

Cites Work

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• The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension
• Homology index braids in infinite-dimensional Conley index theory
• Geometric theory of semilinear parabolic equations
• The suspension isomorphism for homology index braids
• Superstable manifolds of semilinear parabolic problems
• An abstract approach to smoothness of invariant manifolds
• A CONLEY INDEX CALCULATION
• The Connection Map for Attractor-Repeller Pairs
• ON THE POSSIBLE RATE OF DECAY AT INFINITY OF SOLUTIONS OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Dynamics of evolutionary equations

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