A mixed problem for an inhomogeneous wave equation with a summable potential
- Authors: Kornev V.V.1, Khromov A.P.1
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Affiliations:
- Saratov State University
- Issue: Vol 57, No 10 (2017)
- Pages: 1666-1681
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179453
- DOI: https://doi.org/10.1134/S0965542517100104
- ID: 179453
Cite item
Abstract
A mixed problem for an inhomogeneous wave equation with fixed ends in the case of a summable potential is studied. Using the Krylov method for acceleration of the convergence of Fourier series, a classical solution under minimal conditions on the initial data and a generalized solution in the case of quadratic summable initial data and perturbing function are obtained.
About the authors
V. V. Kornev
Saratov State University
Email: info@pleiadesonline.com
Russian Federation, Saratov, 410012
A. P. Khromov
Saratov State University
Email: info@pleiadesonline.com
Russian Federation, Saratov, 410012
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