Attractors for a random evolution equation with infinite memory: theoretical results

DOI10.3934/dcdsb.2017106zbMath1359.60080OpenAlexW2599954911MaRDI QIDQ520933

María J. Garrido-Atienza, Björn Schmalfuss, Valero, José, Tomás Caraballo Garrido

Publication date: 6 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017106

zbMATH Keywords

infinite delayrandom dynamical systempullback and random attractorrandom delay equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Second-order parabolic systems (35K40) Higher-order parabolic systems (35K41)

Related Items (12)

Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on \(\mathbb{R}^n\) ⋮ Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise ⋮ Pullback random attractors for fractional stochastic \(p\)-Laplacian equation with delay and multiplicative noise ⋮ Asymptotical behavior of non-autonomous stochastic reaction-diffusion equations with variable delay on \(\mathbb{R}^N\) ⋮ Dynamics of multi-valued retarded p-Laplace equations driven by nonlinear colored noise ⋮ Limiting dynamics for stochastic delay \(p\)-Laplacian equation on unbounded thin domains ⋮ Asymptotic behavior of non-autonomous fractional stochastic \(p\)-Laplacian equations with delay on \(\mathbb{R}^n\) ⋮ Asymptotic behavior of random reaction-diffusion delay equations driven by colored noise ⋮ Long-time dynamics of fractional nonclassical diffusion equations with nonlinear colored noise and delay on unbounded domains ⋮ Upper semi-continuity of attractors for non-autonomous fractional stochastic parabolic equations with delay ⋮ Random differential equations with discrete delay ⋮ Existence of attractors for stochastic diffusion equations with fractional damping and time-varying delay

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