On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources

Enzo Vitillaro

The aim of the paper is to study the problem $$ \begin{cases} u_{tt}-Δu+P(x,u_t)=f(x,u) \qquad &\text{in $(0,\infty )\times \Omega$,} u=0 &\text{on $(0,\infty )\times {\Gamma }_0$,} u_{tt}+\partia…