On a fourth order parabolic equation with mixed type boundary conditions in a nonrectangular domain

DOI10.7603/s40956-015-0006-5zbMath1492.35142OpenAlexW2219878432MaRDI QIDQ2127178

Arezki Kheloufi

Publication date: 20 April 2022

Published in: Moroccan Journal of Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7603/s40956-015-0006-5

zbMATH Keywords

anisotropic weighted Sobolev spaceshigher-order parabolic equationsnonregular domainsmixed type conditions

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Higher-order parabolic equations (35K25)

Related Items (1)

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
• Singularities of the solution of a \(2m\)-parabolic problem in a polygonal domain
• Non-homogeneous boundary conditions for a fourth-order diffusion equation
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