Email this article Necessary and Sufficient Conditions for the Existence of a Classical Solution of the Mixed Problem for the Homogeneous Wave Equation with an Integrable Potential
- Authors: Khromov A.P.1
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Affiliations:
- Chernyshevsky Saratov State University
- Issue: Vol 55, No 5 (2019)
- Pages: 703-717
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155025
- DOI: https://doi.org/10.1134/S0012266119050112
- ID: 155025
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Abstract
We use the Fourier method to obtain necessary and sufficient conditions for the existence of a classical solution of the mixed problem for a homogeneous wave equation with an integrable potential and fixed endpoints. The solution is represented by a rapidly convergent series.
About the authors
A. P. Khromov
Chernyshevsky Saratov State University
Author for correspondence.
Email: KhromovAP@info.sgu.ru
Russian Federation, Saratov, 410012
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