Singular behavior of the solution of the Cauchy-Dirichlet heat equation in weighted \(L^p\)-Sobolev spaces

zbMath1235.35059MaRDI QIDQ657658

Serge Nicaise, Colette De Coster

Publication date: 10 January 2012

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1323787165

zbMATH Keywords

heat equationpolygonal domainnonsmooth domainstwo space dimensionssingular behaviordomains with cornersdecomposition into regular and singular parts

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05)

Related Items (4)

Unnamed Item ⋮ On the Neumann problem for the nonstationary Stokes system in angles and cones ⋮ Optimal Sobolev regularity for the Stokes equations on a 2D wedge domain ⋮ Asymptotics of a solution to the time-periodic heat equation set in domains with corner points

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