Existence and uniqueness results for parabolic equations with Robin type boundary conditions in a non-regular domain of \(\mathbb R^3\)

DOI10.1016/j.amc.2013.07.027zbMath1329.35166OpenAlexW2068874884MaRDI QIDQ902568

Arezki Kheloufi

Publication date: 18 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.07.027

zbMATH Keywords

parabolic equationsanisotropic Sobolev spacesnon-regular domainsRobin conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

Solution of the boundary value problem of heat conduction in a cone ⋮ On the singular Volterra integral equation of the boundary value problem for heat conduction in a degenerating domain ⋮ Study of a \(2m\)-th order parabolic equation in a non-regular type of prism of \(\mathbb{R}^{N+1}\) ⋮ On parabolic equations with mixed Dirichlet-Robin type boundary conditions in a non-rectangular domain ⋮ On the resolution of the heat equation in unbounded non-regular domains of R³ ⋮ On the coefficient inverse problem of heat conduction in a degenerating domain ⋮ On a fourth order parabolic equation in a nonregular domain of \(\mathbb{R}^3\) ⋮ On a boundary value problem for the heat equation and a singular integral equation associated with it ⋮ Global in Space Regularity Results for the Heat Equation with Robin-Neumann Type Boundary Conditions in Time-varying Domains

Cites Work

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• Existence de la solution de l'équation de la chaleur dans un disque
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