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

Justin Holmer

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

Justin Holmer

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Abstract

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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Justin Holmer. 2006-02-08. The initial-boundary value problem for the 1D nonlinear Schroedinger equation on the half-line. https://arxiv.org/abs/math/0602152

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