Generalized Solution of a Mixed Problem for the Wave Equation with a Nonsmooth Right-Hand Side.

Authors :: Lomov, I. S.
Source :: Doklady Mathematics. Apr2024, Vol. 109 Issue 2, p121-124. 4p.
Publication Year :: 2024
Abstract: A generalized solution of a mixed problem for the wave equation is constructed under minimal conditions on the right side of the equation. The solution is represented as a series from the Fourier method, and its sum is found. The form of a generalized solution of a mixed problem for an inhomogeneous telegraph equation is given. [ABSTRACT FROM AUTHOR]

Subjects :: *SEPARATION of variables
*FOURIER series
*TELEGRAPH & telegraphy
*EQUATIONS

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