Compactly generated shape index theory and its application to a retarded nonautonomous parabolic equation

DOI10.12775/TMNA.2021.031zbMath1501.37018arXiv1802.02867OpenAlexW2965949860MaRDI QIDQ2135278

Jintao Wang, Jin-qiao Duan, De-Sheng Li

Publication date: 6 May 2022

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

Full work available at URL: https://arxiv.org/abs/1802.02867

zbMATH Keywords

shape indexMorse equationscompactly generated shapelocal semiflowsretarded nonautonomous equations

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamics induced by flows and semiflows (37C10) Index theory for dynamical systems, Morse-Conley indices (37B30) Shape theory in general topology (54C56) Shape theory (55P55)

Related Items (4)

Global martingale and pathwise solutions and infinite regularity of invariant measures for a stochastic modified Swift–Hohenberg equation ⋮ Regularity of pullback random attractors and invariant sample measures for nonautonomous stochastic \(p\)-Laplacian lattice systems ⋮ On relative category and Morse decompositions for infinite-dimensional dynamical systems ⋮ Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise

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