Global solution to a non-classical heat problem in the semi-space $\mathbb {R}^{+}\times \mathbb {R}^{n-1}$

DOI10.1090/S0033-569X-2014-01344-1zbMath1292.35080OpenAlexW1894869075MaRDI QIDQ5420095

Mahdi Boukrouche, Domingo Alberto Tarzia

Publication date: 11 June 2014

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2014-01344-1

zbMATH Keywords

existenceuniquenessVolterra integral equation

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Heat kernel (35K08)

Related Items (5)

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ Explicit solutions for a non-classical heat conduction problem for a semi-infinite strip with a non-uniform heat source ⋮ A heat conduction problem with sources depending on the average of the heat flux on the boundary ⋮ Non-classical heat conduction problem with nonlocal source ⋮ Unnamed Item

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• One-Dimensional Heat Conduction with a Class of Automatic Heat-Source Controls
• Asymptotic behaviour of a non-classical heat conduction problem for a semi-infinite material

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