L(2) solutions to the Schrodinger-Poisson system

被引：0
|
作者：
Castella, F
机构：
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1996年 / 323卷 / 12期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve a system of infinitely many coupled Schrodinger equations with self-consistent Coulomb potential for an initial data which is only L(2). For this purpose, we establish Strichartz' type inequalities in the framework of vector-valued wave functions (density matrices). Also, several smoothing effects are shown, which we compare with the Vlasov-Poisson System, semi-classical limit of the Schrodinger-Poisson System.
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页码：1243 / 1248
页数：6
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