\(L_p\)-estimates of solution to the Dirichlet problem for the heat operator in a ball

DOI10.1007/S10958-014-1668-7zbMath1304.35318OpenAlexW2030416219MaRDI QIDQ467597

Yury A. Alkhutov, L. I. Kurlykova

Publication date: 3 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-014-1668-7

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• \(L_p\)-solvability of the Dirichlet problem for the heat equation in noncylindrical domains with isolated characteristic points at the boundary
• Hardy's inequality with weights

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