Local existence and uniqueness for the frictional Newton-Schrödinger equation in three dimensions
نویسندگان
چکیده
We prove, in this paper, local existence and uniqueness of solution for the frictional Newton-Schrödinger equation in three dimensions. Further we show that the blow-up alternative holds true as well as the continuous dependence of the solution w.r.t. the initial data. Our method is rather direct and based essentially on a fixed point-type theorem due to Weissinger and an approximation process.
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تاریخ انتشار 2009