On the existence and uniqueness of a generalized solution of the mixed problem for the wave equation with the second and third boundary conditions

DOI10.1134/S0012266113050145zbMath1277.35234OpenAlexW2042501092WikidataQ115252043 ScholiaQ115252043MaRDI QIDQ376390

Mohammad Hasan, H. S. Yoon

Publication date: 4 November 2013

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

Full work available at URL: https://doi.org/10.1134/s0012266113050145

zbMATH Keywords

boundary control problemclosed-form expression

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15) Weak solutions to PDEs (35D30)

Cites Work

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• Optimal boundary control of string vibrations by a force under elastic fixing
• Uniqueness of generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions
• 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
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation

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