V. I. Korzyuk, O. A. Kovnatskaya, V. P. Serikov, “Problems for the one-dimensional wave equation with conditionson characteristics and non-characteristic lines”, Tr. Inst. Mat., 29:1-2 (2021), 106

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Trudy Instituta Matematiki, 2021, Volume 29, Number 1-2, Pages 106–112 (Mi timb348)

Problems for the one-dimensional wave equation with conditionson characteristics and non-characteristic lines

V. I. Korzyuk^ab, O. A. Kovnatskaya^ab, V. P. Serikov^ba

^a Belarusian State University, Minsk
^b Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk

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Abstract: We consider problems for the one-dimensional wave equation with conditions given on both characteristic lines and non-characteristic lines in the paper. We construct the unique classical solutions of these problems in analytical form by the method of characteristics and indicate necessary and sufficient smoothness and matching conditions on given functions.

Received: 15.10.2021

Document Type: Article

UDC: 517.954

Language: Russian

Citation: V. I. Korzyuk, O. A. Kovnatskaya, V. P. Serikov, “Problems for the one-dimensional wave equation with conditionson characteristics and non-characteristic lines”, Tr. Inst. Mat., 29:1-2 (2021), 106–112

Citation in format AMSBIB

\Bibitem{KorKovSer21}

\by V.~I.~Korzyuk, O.~A.~Kovnatskaya, V.~P.~Serikov

\paper Problems for the one-dimensional wave equation with conditionson characteristics and non-characteristic lines

\jour Tr. Inst. Mat.

\yr 2021

\vol 29

\issue 1-2

\pages 106--112

\mathnet{http://mi.mathnet.ru/timb348}

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Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	20

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