Study of a \(2m\)-th order parabolic equation in a non-regular type of prism of \(\mathbb{R}^{N+1}\)

DOI10.1515/gmj-2016-0005zbMath1338.35199OpenAlexW2312241573MaRDI QIDQ292393

Arezki Kheloufi

Publication date: 8 June 2016

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0005

zbMATH Keywords

anisotropic Sobolev spaceshigh-order parabolic equationsnon-regular domains

Mathematics Subject Classification ID

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

Related Items (2)

Study of 2m-th order parabolic equation in non-symmetric conical domains ⋮ On \(2m\)-th order parabolic equations with mixed boundary conditions in non-rectangular domains

Cites Work

• Regularity of solutions of boundary value problems for a second-order parabolic equation in weighted Hölder spaces
• On the solvability of boundary value problems for a higher order parabolic equation with growing coefficients
• Existence and uniqueness results for parabolic equations with Robin type boundary conditions in a non-regular domain of \(\mathbb R^3\)
• On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach
• Parabolic problems with mixed variable lateral conditions: an abstract approach
• The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains
• On a parabolic equation in a triangular domain
• Parabolic equations with Cauchy-Dirichlet boundary conditions in a non-regular domain of \(\mathbb R^{N+1}\)
• Study of the heat equation in a symmetric conical type domain of ℝN+1
• On the resolution of a parabolic equation in a nonregular domain of ℝ^3
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