Study of 2m-th order parabolic equation in non-symmetric conical domains

DOI10.15672/HUJMS.546340zbMath1488.35266OpenAlexW2954302307WikidataQ128204007 ScholiaQ128204007MaRDI QIDQ5159535

Amor Kessab, Saïda Cherfaoui, Arezki Kheloufi

Publication date: 28 October 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.546340

zbMATH Keywords

conical domainshigh-order parabolic equationsanisotropic weighted Sobolev spaces

Mathematics Subject Classification ID

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

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 \(\mathbb R^3\)
• On a fourth order parabolic equation in a nonregular domain of \(\mathbb{R}^3\)
• On \(2m\)-th order parabolic equations with mixed boundary conditions in non-rectangular domains
• On the solvability of boundary value problems for a higher order parabolic equation with growing coefficients
• On the regularity of the heat equation solution in non-cylindrical domains: two approaches
• Coefficients in the asymptotic solutions of the Cauchy boundary-value parabolic problems in domains with a conical point
• 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
• Study of the heat equation in a symmetric conical type domain of ℝN+1
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