Existence of Solutions of Nonlinear Strongly Dissipative Wave Equations with Acoustic Transmission Conditions

Existence and nonexistence of global solutions for nonlinear transmission acousticproblem

“…In this section we give our main results on the existence and nonexistence of global solutions. First of all, we give the theorem on local existence of solutions and the regularity theorem for the problem (1.1)-(1.8), which were proved in [26] by combining the Galerkin method and the fixed point method (see [21]).…”