Almost-periodic attractors for a class of nonautonomous reaction- diffusion equations on \(\mathbb{R}^ N\). II. Codimension-one stable manifolds

zbMath0796.35076MaRDI QIDQ1194557

Pierre-A. Vuillermot

Publication date: 4 October 1992

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

nonlinear integral equationsNeumann boundary conditionsweighted Banach spaceslocal stable manifoldFisher's type reaction-diffusion equations of population geneticssemilinear parabolic initial value problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Stability theory for smooth dynamical systems (37C75) Boundary value problems for linear first-order PDEs (35F15)

Related Items (8)

Existence results for some damped second-order Volterra integro-differential equations ⋮ On the behavior of solutions to certain parabolic SPDE's driven by Wiener processes. ⋮ Regularity and asymptotic behavior of solutions of nonautonomous differential equations ⋮ Almost-periodic attractors for a class of nonautonomous reaction-diffusion equations on N—III. Center curves and liapounov stability ⋮ Long-time behavior of solutions to a class of quasilinear parabolic equations with random coefficients ⋮ Existence of asymptotically almost periodic solutions for some second-order hyperbolic integrodifferential equations ⋮ Almost-periodic attractors for a class of nonautonomous reaction- diffusion equations on \(\mathbb{R}{}^ N\). I: Global stabilization processes ⋮ Large-time asymptotic equivalence for a class of non-autonomous semilinear parabolic equations

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