TIME–PERIODIC SOLUTIONS FOR A SCALAR CONSERVATION LAW

Abstract: We consider the existence of time periodic solutions for a nonlinear hyperbolic scalar conservation law with a time periodic outer force. The uniform asymptotic behavior of the Lax–Friedrichs difference approximation gives fixed points of the Poincare map and the convergence of the approximate periodic so-lution made from such fixed points is proved by the compensated compactness theory