On the existence and continuity results for viscoelastic problem parabolic equations

DOI10.3934/EECT.2024016zbMATH Open1547.35152MaRDI QIDQ6595486

Ngoc Thach Tran, Thi Minh Duc Le, Duc Phuong Nguyen

Publication date: 30 August 2024

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

zbMATH Keywords

regularitycontinuityparabolic equationsviscoelasticwell-posed

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for second-order parabolic equations (35K15) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Cites Work

• Approximate controllability and lack of controllability to zero of the heat equation with memory
• A new approach to equations with memory
• Upper bound estimate for the blow-up time of a class of integrodifferential equation of parabolic type involving variable source
• The Cauchy-Dirichlet problem for parabolic equations with VMO coefficients
• An integrodifferential equation for rigid heat conductors with memory
• On the elastic after effect.
• Bounds for blow-up time in a semilinear parabolic problem with viscoelastic term
• Flow decomposition for heat equations with memory
• Asymptotic stability in viscoelasticity
• Thermodynamics of Materials with Memory
• Thermodynamic properties and stability for the heat flux equation with linear memory
• Remarks on non controllability of the heat equation with memory
• Controllability of Evolution Equations with Memory
• Controllability of the heat equation with memory
• Theory of elastic after effects
• Existence of mild solutions for nonlocal evolution equations with the Hilfer derivatives
• On inverse source term for heat equation with memory term

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