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

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

2006-02-08

arxiv.org/abs/math/0602152v1

Differential and Integral Equations, 18 (2005), no. 6, pp. 647-668

Mathematics

Analysis of PDEs

21 pages, no figures

Scientific paper

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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