Regularity of solutions of boundary value problems for a second-order parabolic equation in weighted Hölder spaces

DOI10.1134/S0012266113010084zbMath1273.35074OpenAlexW2040663883WikidataQ115252067 ScholiaQ115252067MaRDI QIDQ354503

M. F. Cherepova

Publication date: 19 July 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113010084

zbMATH Keywords

Hölder spacesoblique derivative problemnoncompact lateral boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (8)

On a fourth order parabolic equation with mixed type boundary conditions in a nonrectangular domain ⋮ 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 \(\mathbb R^3\) ⋮ Solvability of a model oblique derivative problem for the heat equation in the Zygmund space \(H_1\) ⋮ 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 ⋮ Model oblique derivative problem for the heat equation with a discontinuous boundary function ⋮ Regularity of solutions of boundary value problems for parabolic equations of arbitrary order in weighted Hölder spaces

Cites Work

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• Boundary value problems for a higher-order parabolic equation with growing coefficients
• Intermediate Schauder estimates
• On the solvability of boundary value problems for a parabolic equation with coefficients growing near the boundary
• The uniqueness of the solution of the first boundary value problem in an unbounded domain for a second-order parabolic equation

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