A potential well theory for the wave equation with nonlinear source and boundary damping terms
A potential well theory for the wave equation with nonlinear source and boundary damping terms
The paper deals with local existence, blow-up and global existence for the solutions of a wave equation with an internal nonlinear source and a nonlinear boundary damping. The typical problem studied is\cases{u_{tt}-\Delta u=|u|^{p-2}u \hfill & \rm{~}OPEN~7~in <hsp sp=0.25>[0,\rm{inf}ty )\times \Omega ,}\hfill \cr u=0 \hfill & \rm{~}OPEN~6~on <hsp sp=0.25>[0,\rm{inf}ty )\times \Gamma …