Nonclassical diffusion with memory lacking instantaneous damping

DOI10.3934/cpaa.2020090zbMath1446.35063OpenAlexW3003072173MaRDI QIDQ2175702

Filippo Dell'Oro, Vittorino Pata, Monica Conti

Publication date: 29 April 2020

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020090

zbMATH Keywords

global attractorsoptimal regularityhereditary memorynonclassical diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Integro-partial differential equations (45K05) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (13)

Uniform attractors for nonclassical diffusion equations with perturbed parameter and memory ⋮ Exponential decay of a first order linear Volterra equation ⋮ Uniform attractors of nonclassical diffusion equations lacking instantaneous damping on \(\mathbb{R}^N\) with memory ⋮ Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth ⋮ Attractors for a class of perturbed nonclassical diffusion equations with memory ⋮ On the Hölder regularity of a linear stochastic partial-integro-differential equation with memory ⋮ Asymptotic behavior for a class of viscoelastic equations with memory lacking instantaneous damping ⋮ Dynamic of the nonclassical diffusion equation with memory ⋮ Upper semicontinuity of optimal attractors for viscoelastic equations lacking strong damping ⋮ Unnamed Item ⋮ Initial value problem for fractional Volterra integro-differential equations with Caputo derivative ⋮ Strong pullback attractors for a nonclassical diffusion equation ⋮ Asymptotic behavior of quasi-linear evolution equations on time-dependent product spaces

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