Classical Solution of the Mixed Problem for a Homogeneous Wave Equation with Fixed Endpoints

Classical Solution of the Mixed Problem for a Homogeneous Wave Equation with Fixed Endpoints

Using the Fourier method, we obtain necessary and sufficient conditions for the existence of a classical solution of the mixed problem for a homogeneous wave equation with summable potential and fixed endpoints and also obtain an explicit representation of the solution in the form of a rapidly conve...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-11, Vol.267 (6), p.787-802
Hauptverfasser: Kornev, V. V., Khromov, A. P.
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Sprache:eng
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Mathematics
Mathematics and Statistics
Wave equations
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container_title Journal of mathematical sciences (New York, N.Y.)
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creator Kornev, V. V.
Khromov, A. P.
description Using the Fourier method, we obtain necessary and sufficient conditions for the existence of a classical solution of the mixed problem for a homogeneous wave equation with summable potential and fixed endpoints and also obtain an explicit representation of the solution in the form of a rapidly converging series.
doi_str_mv 10.1007/s10958-022-06170-7
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subjects Mathematics
Mathematics and Statistics
Wave equations
title Classical Solution of the Mixed Problem for a Homogeneous Wave Equation with Fixed Endpoints
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