Abstract
The mixed problem for nonlinear strongly dissipative wave equations with acoustic transmission conditions is considered. An existence and uniqueness theorem for local solutions is proved using the Faedo–Galerkin approximations, the compactness method, and the fixed point theorem. The existence of global solutions of this problem is also proved.
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Isayeva, S.E. Existence of Solutions of Nonlinear Strongly Dissipative Wave Equations with Acoustic Transmission Conditions. Comput. Math. and Math. Phys. 60, 286–301 (2020). https://doi.org/10.1134/S0965542520020062
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DOI: https://doi.org/10.1134/S0965542520020062