Solvability of mixed problems for the Klein-Gordon-Fock equation in the class \(L_p\) for \(p\geq1\)

DOI10.1134/S0012266118030059zbMath1395.35133OpenAlexW2802937641MaRDI QIDQ721886

Ilya S. Mokrousov, I. N. Smirnov, Andrey A. Kuleshov

Publication date: 20 July 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118030059

zbMATH Keywords

one space dimensionunique generalized solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) 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 \(p \geq 1\)
• Generalized solutions of the wave equation in the classes \(L _{p }\) and \(W^{1}_{p}\) with \( p \geq 1\)
• On some properties of generalized solutions of the wave equation in the classes \(L _{p }\) and \(W^1_p\) for \(p \geq 1\)
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS

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