Local Well-Posedness of a System Describing Laser-Plasma Interactions
Local Well-Posedness of a System Describing Laser-Plasma Interactions
Abstract A degenerate Zakharov system arises as a model for the description of laser-plasma interactions. It is a coupled system of a Schrödinger and a wave equation with a non-dispersive direction. In this paper, a new local well-posedness result for rough initial data is established. The proof is based on …