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Systems Of Nonlinear Wave Equations With Damping And Supercritical Sources, Yanqiu Guo
Systems Of Nonlinear Wave Equations With Damping And Supercritical Sources, Yanqiu Guo
Department of Mathematics: Dissertations, Theses, and Student Research
We consider the local and global well-posedness of the coupled nonlinear wave equations
utt – Δu + g1(ut) = f1(u, v)
vtt – Δv + g2(vt) = f2(u, v);
in a bounded domain Ω subset of the real numbers (Rn) with a nonlinear Robin boundary condition on u and a zero boundary conditions on v. The nonlinearities f1(u, v) and f2(u, v) are with supercritical exponents …