Energy inequality and a matching method for weak solutions of hyperbolic equations with variable-domain piecewise smooth operators

DOI10.1134/S1064562413010183zbMath1417.34138MaRDI QIDQ352236

F. E. Lomovtsev

Publication date: 4 July 2013

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

zbMATH Keywords

weak solutionCauchy problemhyperbolic equation

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear differential equations in abstract spaces (34G10)

Cites Work

• Cauchy problem for quasihyperbolic factorized differential equations with variable domains of discontinuous operators
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation
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