A general decay result for a semilinear heat equation with past and finite history memories

DOI10.1186/s13661-019-1150-zOpenAlexW2918581359WikidataQ128419884 ScholiaQ128419884MaRDI QIDQ2108232

Rui Yang, Zhong Bo Fang

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1150-z

zbMATH Keywords

heat equationgeneral decayfinite memorypast memory

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx) Qualitative properties of solutions to partial differential equations (35Bxx) Integro-partial differential equations (45Kxx)

Cites Work

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• A general decay result in a quasilinear parabolic system with viscoelastic term
• General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition
• Asymptotic stability of abstract dissipative systems with infinite memory
• Asymptotic stability for some systems of semilinear Volterra diffusion equations
• Blow-up of solutions of parabolic equations with nonlinear memory
• Solution of a nonlinear integrodifferential system arising in nuclear reactor dynamics
• Global existence and uniform energy decay rates for the semilinear parabolic equation with a memory term and mixed boundary condition
• Blow-up of solutions of a semilinear heat equation with a memory term
• Global and blow-up of solutions for a quasilinear parabolic system with viscoelastic and source terms
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
• Weak And Classical Solutions Of Some Nonlinear Volterra Integrodifferential Equations

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