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This dissertation deals with the global well-posedness of the system of nonlinear wave equations [special characters omitted]in a bounded domain Ω ⊂ [special characters omitted], n = 1, 2, 3; with Dirichlét boundary conditions. The nonlinearities f1(u, v) and f2(u, v) act as a s…

We consider the local and global well-posedness of the coupled nonlinear wave equations [special characters omitted] in a bounded domain Ω ⊂ [special characters omitted] with a nonlinear Robin boundary condition on u and a zero boundary conditions on v. The nonlinearities f1(u, …