LOCAL WELL-POSEDNESS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH HARMONIC POTENTIAL IN Hs

Title & Authors
LOCAL WELL-POSEDNESS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH HARMONIC POTENTIAL IN Hs
Zhang, Shan; Liu, Zuhan; Lu, Zhongxue;

Abstract
We establish the local well-posedness for the Cauchy problem of the nonlinear Schr$\small{\ddot{o}}$odinger equation with harmonic potential in $\small{H^s(\mathbb{R}^n)}$, where $\small{s{\in}\mathbb{R}}$, s > 0.
Keywords
nonlinear Schr$\small{\ddot{o}}$odinger equation;harmonic potential;Cauchy problem;$\small{H^s(\mathbb{R}^n)}$ space;
Language
English
Cited by
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