Wellposedness for a (1+1)-dimensional wave equation with quasilinear boundary condition

Sebastian Ohrem, Wolfgang Reichel, Roland Schnaubelt

We consider the linear wave equation $V(x)u_{tt}(x,t)-u_{xx}(x,t)=0$ on $[0,\infty )\times [0,\infty )$ with initial conditions and a nonlinear Neumann boundary condition $u_…