Heat conduction with memory: a singular kernel problem

DOI10.3934/eect.2014.3.399zbMath1304.45010OpenAlexW2319120162MaRDI QIDQ478971

Giorgio Vergara Caffarelli, Vanda Valente, Sandra Carillo

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.3934/eect.2014.3.399

zbMATH Keywords

materials with memoryheat conduction with memorysingular kernelsolution existenceintegro-differential problemsolution uniqueness

Mathematics Subject Classification ID

Integro-partial differential equations (45K05)

Related Items (12)

On a fractional reaction-diffusion equation ⋮ Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative ⋮ A non-autonomous damped wave equation with a nonlinear memory term ⋮ Identifying the initial state for a parabolic diffusion from their time averages with fractional derivative ⋮ Regular and singular kernel problems in magneto-viscoelasticity ⋮ A magneto-viscoelasticity problem with a singular memory kernel ⋮ Singular kernel problems in materials with memory ⋮ An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains ⋮ Reconstructing the right-hand side of a fractional subdiffusion equation from the final data ⋮ A local theory for a fractional reaction-diffusion equation ⋮ On weak regularity requirements of the relaxation modulus in viscoelasticity ⋮ Some remarks on the model of rigid heat conductor with memory: unbounded heat relaxation function

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