On \(2m\)-th order parabolic equations with mixed boundary conditions in non-rectangular domains

DOI10.17377/SEMI.2017.14.009zbMath1357.35168MaRDI QIDQ515201

Saïa Cherfaoui, Arezki Kheloufi, Amor Kessab

Publication date: 13 March 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

anisotropic Sobolev spaceshigh-order parabolic equationsnon-rectangular domainsmixed conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05)

Related Items (3)

On the solvability of nonlocal initial-boundary value problems for a partial differential equation of high even order ⋮ Study of 2m-th order parabolic equation in non-symmetric conical domains ⋮ Global in Space Regularity Results for the Heat Equation with Robin-Neumann Type Boundary Conditions in Time-varying Domains

Cites Work

• Study of a \(2m\)-th order parabolic equation in a non-regular type of prism of \(\mathbb{R}^{N+1}\)
• Resolution of a high-order parabolic equation in conical time-dependent domains of \(\mathbb R^3\)
• Regularity of solutions of boundary value problems for a second-order parabolic equation in weighted Hölder spaces
• On a fourth order parabolic equation in a nonregular domain of \(\mathbb{R}^3\)
• On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach
• Singularities of the solution of a \(2m\)-parabolic problem in a polygonal domain
• Parabolic problems with mixed variable lateral conditions: an abstract approach
• On a fourth order parabolic equation with mixed type boundary conditions in a nonrectangular domain
• Multiple positive solutions to a fourth order boundary value problem
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