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On the global strong solutions of coupled Klein-Gordon-Schrödinger equations

On the global strong solutions of coupled Klein-Gordon-Schrödinger equations

In this paper we will consider the following system of equations in three space dimensions:(1.1)Where $A_{1}$ and $A_{2}$ denote positive selfadjoint elliptic operators of order 2 with Dirichlet-zero conditions over a bounded or unbounded domain $\Omega\subset R^{3}$ .If $A_{1}=$ -A and $A_{2}=-\Delta+I$ , where $\Delta$ denotes the spatial Laplacian, (1.1) …