\(L_p\)-solvability of the Dirichlet problem for the heat equation in noncylindrical domains with isolated characteristic points at the boundary

DOI10.1007/s10958-011-0432-5zbMath1290.35137OpenAlexW2008284762MaRDI QIDQ2016959

L. I. Kurlykova, Yury A. Alkhutov

Publication date: 24 June 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-011-0432-5

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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

Cites Work

• \(L_{p}\)-solvability of the Dirichlet problem for second order parabolic equations
• Weighted norm inequalities for maximal functions and singular integrals
• Hardy's inequality with weights
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