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arxiv: math/0602152 · v1 · submitted 2006-02-08 · 🧮 math.AP

The initial-boundary value problem for the 1D nonlinear Schroedinger equation on the half-line

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keywords equationhalf-lineinitial-boundarynonlinearproblemschroedingervalueadapting
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We prove, by adapting the method of Colliander-Kenig (2002), local well-posedness of the initial-boundary value problem for the one-dimensional nonlinear Schroedinger equation on the half-line under low boundary regularity assumptions.

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