Integral identity definition of a generalized solution in the class \(L_p\) to a mixed problem for the wave equation

DOI10.1134/S1064562412060142zbMath1270.35189MaRDI QIDQ1945216

Vladimir Il'in, A. A. Kuleshov

Publication date: 3 April 2013

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

zbMATH Keywords

equivalence of two definitions

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) Solutions to PDEs in closed form (35C05)

Cites Work

• Solvability of mixed problems for the string oscillation equation in the space \(W_{p}^{1}\), with \(p \geq 1\)

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