Isayeva, S. E. The initial boundary value problem for one system with acoustic transmission conditions. (Russian. English summary) Zbl 1430.35153 Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 29, No. 4, 34-42 (2018). Summary: In this work we consider the initial-boundary value problem for one system of hyperbolic equations with acoustic transmission conditions. We prove the existence of weak solutions for this problem. Faedo-Galerkin method is used. MSC: 35L53 Initial-boundary value problems for second-order hyperbolic systems 35D30 Weak solutions to PDEs Keywords:Dirichlet boundary condition; Faedo-Galerkin method PDF BibTeX XML Cite \textit{S. E. Isayeva}, Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 29, No. 4, 34--42 (2018; Zbl 1430.35153) OpenURL