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V.I. Korzyuk (1991)
An Energy Inequality for a Boundary Value Problem for a Third-Order Hyperbolic Equation with a Wave OperatorDiffer. Uravn., 27
V. Thomée (1957)
Estimates of the Friedrichs-Lewy type for mixed problems in the theory of linear hyperbolic differential equations in two independent variablesMathematica Scandinavica, 5
V.V. Varlamov (1990)
An Initial–Boundary Value Problem for a Third-Order Hyperbolic EquationDiffer. Uravn., 26
V.I. Korzyuk (2004)
A Boundary Value Problem for a Hyperbolic Equation with a Third-Order Wave OperatorDiffer. Uravn., 40
V. Korzyuk (2004)
A Boundary Value Problem for a Hyperbolic Equation with a Third-Order Wave OperatorDifferential Equations, 40
V. Varlamov (1986)
On a problem of the propagation of compression waves in a viscoelastic mediumUssr Computational Mathematics and Mathematical Physics, 25
V. Korzyuk, A. Mandrik (2014)
Classical solution of the first mixed problem for a third-order hyperbolic equation with the wave operatorDifferential Equations, 50
V.I. Korzyuk, I.S. Kozlovskaya (2012)
Solution of the Cauchy Problem for a Hyperbolic Equation with Constant Coefficients in the Case of Two Independent VariablesDiffer. Uravn., 48
O.V. Rudenko, S.I. Soluyan (1975)
Teoreticheskie osnovy nelineinoi akustiki
V.V. Varlamov (1985)
A Problem of Propagation of Compression Waves in a Viscoelastic MediumZh. Vychisl. Mat. Mat. Fiz., 25
V. Thomée (1955)
Estimates of the Friedrichs -Lewy type for a hyperbolic equation with three characteristicsMathematica Scandinavica, 3
(1991)
The Cauchy Problem for Third-Order Hyperbolic Operator-Differential Equations, Differ
V. Korzyuk, I. Kozlovskaya (2012)
Solution of the cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variablesDifferential Equations, 48
(1975)
Teoreticheskie osnovy nelineinoi akustiki (Theoretical Foundations of Nonlinear Acoustics)
V.I. Korzyuk, A.A. Mandrik (2014)
Classical Solution of the Mixed Problem for a Third-Order Hyperbolic Equation with the Wave OperatorDiffer. Uravn., 50
V. Thomée (1958)
Existence Proofs for Mixed Problems for Hyperbolic Differential Equations in Two Independent Variables by Means of the Continuity Method.Mathematica Scandinavica, 6
We study the classical solution of a boundary value problem for a nonstrictly parabolic equation of the third order in a rectangular domain of two independent variables. We pose Cauchy conditions on the lower base of the domain and the Dirichlet conditions on the lateral boundary. By the method of characteristics, we obtain a closed-form analytic expression for the solution of the problem. The uniqueness of the solution is proved.
Differential Equations – Springer Journals
Published: Jul 13, 2016
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