Abstract
A.N. Krylov’s ideas concerning convergence acceleration for Fourier series are used to obtain explicit expressions for the classical solution of a mixed problem for a nonhomogeneous equation and explicit expressions for a weak solution in the case of arbitrary summable \(q(x)\), \(\varphi (x)\), \(\psi (x)\), and \(f(x,t)\).
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Translated by I. Ruzanova
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Khromov, A.P., Kornev, V.V. Classical and Generalized Solutions of a Mixed Problem for a Nonhomogeneous Wave Equation. Dokl. Math. 99, 11–13 (2019). https://doi.org/10.1134/S1064562419010034
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DOI: https://doi.org/10.1134/S1064562419010034