Geodesic
Solution of the wave equation in a quarter plane
Trudy Instituta matematiki, Tome 28 (2020) no. 1, pp. 40-56

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In this article, the classical solution in the class of continuously differentiable functions of arbitrary order in the quarter plane for the wave equation is presented in an analytical form. The classical solution of the equation under consideration is determined. To construct this solution, a partial solution of the original wave equation is written out. For the given functions, the obtained matching conditions are necessary and sufficient for the presented solution of the equation to be classical of high order of smoothness. 
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     title = {Solution of the wave equation in a quarter plane},
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V. I. Korzyuk; I. S. Kozlovskaja; V. Yu. Sokolovich. Solution of the wave equation in a quarter plane. Trudy Instituta matematiki, Tome 28 (2020) no. 1, pp. 40-56. http://geodesic.mathdoc.fr/item/TIMB_2020_28_1_a4/