Global in Space Regularity Results for the Heat Equation with Robin-Neumann Type Boundary Conditions in Time-varying Domains

DOI10.17516/1997-1397-2019-12-3-355-370OpenAlexW2969417406MaRDI QIDQ5853399

Tahir Boudjeriou, Arezki Kheloufi

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu760

zbMATH Keywords

heat equationNeumann conditionanisotropic Sobolev spacesRobin conditionunbounded non-cylindrical domains

Mathematics Subject Classification ID

Partial differential equations (35-XX) Potential theory (31-XX)

Related Items (1)

Global in Time Results for a Parabolic Equation Solution in Non-rectangular Domains

Cites Work

• On parabolic equations with mixed Dirichlet-Robin type boundary conditions in a non-rectangular domain
• Large time and space size behaviour of the heat equation in non-cylindrical domains
• On \(2m\)-th order parabolic equations with mixed boundary conditions in non-rectangular domains
• Existence and uniqueness results for parabolic equations with Robin type boundary conditions in a non-regular domain of \(\mathbb R^3\)
• \(L_p\)-estimates of solutions of the Dirichlet problem for the heat equation in a ball
• An extension of Rothe's method to non-cylindrical domains.
• Solutions of the heat equation in domains with singularities
• Parabolic problems with mixed variable lateral conditions: an abstract approach
• Sur une équation parabolique dans un domaine non cylindrique. (On a parabolic equation in a noncylindrical domain)
• The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains
• Uniqueness classes of solutions of boundary value problems for nondivergent second order parabolic equations in noncylindrical domains
• An existence result for evolution equations in non-cylindrical domains
• Study of the heat equation in a symmetric conical type domain of ℝN+1
• REGULARITY OF A PARABOLIC EQUATION SOLUTION IN A NONSMOOTH AND UNBOUNDED DOMAIN
• Existence de la solution de l'équation de la chaleur dans un disque
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