Almost-periodic attractors for a class of nonautonomous reaction- diffusion equations on \(\mathbb{R}{}^ N\). I: Global stabilization processes

DOI10.1016/0022-0396(91)90091-MzbMath0767.35040OpenAlexW2007805296MaRDI QIDQ1181683

Pierre-A. Vuillermot

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-0396(91)90091-m

zbMATH Keywords

Fisher's type reaction-diffusion equations of population geneticsgeometric argumentsparabolic comparison principlessemilinear parabolic Neumann boundary value problem

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 (13)

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. ⋮ Multiple splitting for parabolic equations in almost periodic spaces ⋮ 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 ⋮ Weak pullback attractors of setvalued processes. ⋮ Attractors of non-autonomous parabolic equations and their symmetry properties ⋮ Existence of asymptotically almost periodic solutions for some second-order hyperbolic integrodifferential equations ⋮ On Minimal Sets of Scalar Parabolic Equations with Skew-Product Structures ⋮ Large-time asymptotic equivalence for a class of non-autonomous semilinear parabolic equations ⋮ Uniform long-time behavior of solutions of parabolic equations depending on slow time ⋮ Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: itô's case

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