Email this article Behavior of the formal Fourier solution of the wave equation with a summable potential
- Authors: Khromov A.P.1
-
Affiliations:
- Saratov State University
- Issue: Vol 93, No 2 (2016)
- Pages: 190-192
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/223533
- DOI: https://doi.org/10.1134/S1064562416020186
- ID: 223533
Cite item
Open Access
Access granted
Subscription Access
Abstract
The convergence of the formal Fourier solution to a mixed problem for the wave equation with a summable potential is analyzed under weaker assumptions imposed on the initial position u(x, 0) = φ(x) than those required for a classical solution up to the case φ(x)∈ Lp[0,1] for p > 1. It is shown that the formal solution series always converges and represents a weak solution of the mixed problem.
About the authors
A. P. Khromov
Saratov State University
Author for correspondence.
Email: KhromovAP@info.sgu.ru
Russian Federation, ul. Astrakhanskaya 83, Saratov, 410012
Supplementary files
