An initial-boundary value problem for the one-dimensional non-classical heat equation in a slab

DOI10.1186/1687-2770-2011-4zbMath1270.35249OpenAlexW2104599871WikidataQ59269850 ScholiaQ59269850MaRDI QIDQ1950067

Natalia N. Salva, Domingo Alberto Tarzia, Luis Tadeo Villa

Publication date: 24 May 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-4

zbMATH Keywords

uniform heat source

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Integral representations of solutions to PDEs (35C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Volterra integral equations (45D05) Moving boundary problems for PDEs (35R37) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• A one-phase Stefan problem for a non-classical heat equation with a heat flux condition on the fixed face
• A class of nonlinear non-classical parabolic equations
• Blow-up in Nonlocal Reaction-Diffusion Equations
• Asymptotic behaviour of a non-classical heat conduction problem for a semi-infinite material