Email this article On the solvability of a boundary value problem for nonlinear wave equations in angular domains
- Authors: Kharibegashvili S.S.1,2, Jokhadze O.M.1,2
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Affiliations:
- A. Razmadze Mathematical Institute
- Tbilisi State University
- Issue: Vol 52, No 5 (2016)
- Pages: 644-666
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/153823
- DOI: https://doi.org/10.1134/S0012266116050104
- ID: 153823
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Abstract
For a one-dimensional wave equation with a weak nonlinearity, we study the Darboux boundary value problem in angular domains, for which we analyze the existence and uniqueness of a global solution and the existence of local solutions as well as the absence of global solutions.
About the authors
S. S. Kharibegashvili
A. Razmadze Mathematical Institute; Tbilisi State University
Author for correspondence.
Email: kharibegashvili@yahoo.com
Georgia, Tbilisi; Tbilisi
O. M. Jokhadze
A. Razmadze Mathematical Institute; Tbilisi State University
Email: kharibegashvili@yahoo.com
Georgia, Tbilisi; Tbilisi
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