Resolution of a high-order parabolic equation in conical time-dependent domains of \(\mathbb R^3\)

DOI10.1016/J.AJMSC.2015.06.002zbMath1338.35200OpenAlexW1176356841MaRDI QIDQ296189

Arezki Kheloufi, Boubaker-Khaled Sadallah

Publication date: 15 June 2016

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2015.06.002

zbMATH Keywords

conical domainshigh-order parabolic equationsanisotropic weighted Sobolev spaces

Mathematics Subject Classification ID

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

Related Items (4)

On the coefficient inverse problem of heat conduction in a degenerating domain ⋮ On a boundary value problem for the heat equation and a singular integral equation associated with it ⋮ 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 a fourth order parabolic equation in a nonregular domain of \(\mathbb{R}^3\)
• On the solvability of boundary value problems for a higher order parabolic equation with growing coefficients
• On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach
• Study of the heat equation in a symmetric conical type domain of ℝN+1
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