Criterion for a generalized solution in the class \(L_p\) for the wave equation to be in the class \(W_p^1\)

DOI10.1134/S1064562412060038zbMath1270.35296MaRDI QIDQ1945176

Vladimir Il'in, A. A. Kuleshov

Publication date: 3 April 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet boundary conditionszero initial conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Weak solutions to PDEs (35D30)

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