A non-autonomous Conley index

DOI10.1007/S11784-016-0307-YzbMath1379.37033OpenAlexW2536924533MaRDI QIDQ1687161

Axel Jänig

Publication date: 22 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0307-y

zbMATH Keywords

semilinear parabolic equationConley indexrecurrent solutionPoisson stable solution

Mathematics Subject Classification ID

Index theory for dynamical systems, Morse-Conley indices (37B30) Entire solutions to PDEs (35B08) Quasilinear parabolic equations (35K59)

Related Items (4)

Nonautonomous Conley index theory. the homology index and attractor-repeller decompositions ⋮ Nonautonomous Conley index theory. Continuation of Morse-decompositions ⋮ Equilibrium-like solutions of asymptotically autonomous differential equations ⋮ Nonautonomous Conley index theory the connecting homomorphism

Cites Work

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• Averaging, Conley index continuation and recurrent dynamics in almost-periodic parabolic equations
• Dynamical systems: Stability theory and applications
• Almost automorphic and almost periodic dynamics in skew-product semiflows
• Dynamics of evolutionary equations

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