Prefer a chat interface with context about you and your work?
Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping
We consider finite energy solutions of a wave equation with supercritical nonlinear sources and nonlinear damping. A distinct feature of the model under consideration is the presence of nonlinear sources on the boundary driven by Neumann boundary conditions. Since Lopatinski condition fails to hold (unless the $\text{dim} (\Omega) = 1$), …