Classical Solution of the First Mixed Problem for the Wave Equation in a Curvilinear Half-Strip

We consider the solution of the first mixed problem for the wave equation with two independent variables in a curvilinear half-strip. Under certain smoothness conditions and matching conditions imposed on the given functions, the uniqueness of this solution is proved and its analytical representatio...

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Bibliographic Details
Published in:	Differential equations Vol. 56; no. 1; pp. 98 - 108
Main Authors:	Korzyuk, V. I., Kozlovskaya, I. S., Naumavets, S. N.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 2020 Springer Springer Nature B.V
Subjects:	Difference and Functional Equations Differential equations Independent variables Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Smoothness Strip Wave equations
Online Access:	Get full text
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Summary:	We consider the solution of the first mixed problem for the wave equation with two independent variables in a curvilinear half-strip. Under certain smoothness conditions and matching conditions imposed on the given functions, the uniqueness of this solution is proved and its analytical representation is determined. A method for the local construction of a particular solution to the inhomogeneous equation is proposed.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266120010115