Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials

Andreas Hirsch, Wolfgang Reichel

We consider the semilinear wave equation $V(x)u_{tt}-u_{xx}+q(x)u=\pm f(x,u)$ for three different classes (P1), (P2), (P3) of periodic potentials $V,q$. (P1) consists of period…