Necessary and sufficient conditions for a generalized solution to the initial-boundary value problem for the wave equation to belong to \(W_p^1\) with \(p\geq 1\)
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Publication:2446237
DOI10.1134/S0081543813080087zbMath1288.35329MaRDI QIDQ2446237
A. A. Kuleshov, Vladimir Il'in
Publication date: 16 April 2014
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)
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Equivalence of two definitions of a generalized \(L_p\) solution to the initial-boundary value problem for the wave equation ⋮ Criterion for a Generalized Solution in the Class Lp for the Wave Equation to Be in the Class W1 p
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