On the solvability of a boundary value problem for nonlinear wave equations in angular domains
- Autores: Kharibegashvili S.S.1,2, Jokhadze O.M.1,2
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Afiliações:
- A. Razmadze Mathematical Institute
- Tbilisi State University
- Edição: Volume 52, Nº 5 (2016)
- Páginas: 644-666
- Seção: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/153823
- DOI: https://doi.org/10.1134/S0012266116050104
- ID: 153823
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Resumo
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.
Sobre autores
S. Kharibegashvili
A. Razmadze Mathematical Institute; Tbilisi State University
Autor responsável pela correspondência
Email: kharibegashvili@yahoo.com
Geórgia, Tbilisi; Tbilisi
O. Jokhadze
A. Razmadze Mathematical Institute; Tbilisi State University
Email: kharibegashvili@yahoo.com
Geórgia, Tbilisi; Tbilisi
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