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

Electronic Journal of Differential Equations

卷:2003

关键词: Schrodinger-Poisson system;    quantum hydrodynamics;    Euler-Poisson system;    semiclassical limit;    WKB expansion;    quasilinear symmetric hyperbolic system.;   

DOI  :  

来源: DOAJ

【 摘 要 】

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 existence of a global solution and show the time-asymptotic behavior of a classical solutions of Schrodinger-Poisson system for a fixed re-scaled Planck constant.

【 授权许可】

Unknown