Initial-boundary problems for semilinear hiperbolic systems with singular coefficients

• Published in: Нелинейные граничные задачи
• Date: 2005
• Main Author: Kmit, I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169155
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Initial-boundary problems for semilinear hiperbolic systems with singular coefficients / I. Kmit // Нелинейные граничные задачи. — 2005. — Т. 15. — С. 74-84. — Бібліогр.: 17 назв. — англ.

In the paper we use the framework of Colombeau algebras of generalized functions to study existence and uniqueness of global generalized solutions to mixed non-local problems for a semilinear hyperbolic system. Coefficients of the system as well as initial and boundary data are allowed to be strongl...