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arxiv: 0905.2301 · v1 · submitted 2009-05-14 · 🧮 math.AP · math-ph· math.MP

Local existence and uniqueness for the frictional Newton-Schroedinger equation in three dimensions

classification 🧮 math.AP math-phmath.MP
keywords dimensionsequationexistencelocalnewton-schroedingerthreeuniquenessalternative
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We prove local existence and uniqueness for the Newton-Schroedinger 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.

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