Semiclassical limit and well-posedness of nonlinear Schrodinger-Poisson systems

This paper concerns the well-posedness and semiclassical limit of nonlinear Schrodinger-Poisson systems. We show the local well-posedness and the existence of semiclassical limit of the two models for initial data with Sobolev regularity, before shocks appear in the limit system. We establish the ex...

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Bibliographic Details
Main Authors: Hailiang Li, Chi-Kun Lin
Format: Article
Language:English
Published: Texas State University 2003-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/93/abstr.html