Generic Morse-Smale property for the parabolic equation on the circle

DOI10.1016/j.anihpc.2010.09.001zbMath1213.35046arXiv1005.3186OpenAlexW3106422036MaRDI QIDQ619857

Geneviève Raugel, Romain Joly

Publication date: 18 January 2011

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3186

zbMATH Keywords

transversalityexponential dichotomyhyperbolicityPoincaré-Bendixsonlap-numberSard-Smale

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Dynamical systems with hyperbolic orbits and sets (37D05) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45) Morse-Smale systems (37D15)

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