Well posedness for the nonlinear Klein–Gordon–Schrödinger equations with heterointeractions.

In this paper we study the well posedness of solution to a certain system of nonlinear Klein–Gordon–Schrödinger equations in three space dimensions. Basing on the Strichartz estimates, we obtain the global existence, uniqueness of the solutions, and continuous dependence with respect to initial data in the Sobolev spaces of low regularities by setting appropriate contraction and taking difference estimates. [ABSTRACT FROM AUTHOR]