STRICHARTZ ESTIMATES FOR THE SCHRODINGER EQUATION ON A TREE AND APPLICATIONS

被引：12
作者：
Ignat, Liviu I. [1 ,2 ]
机构：
[1] Acad Romana, Inst Math Simion Stoilow, RO-014700 Bucharest, Romania
[2] BCAM Basque Ctr Appl Math, Basque Country, Spain
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2010年 / 42卷 / 05期
关键词：
Schrodinger equation; Strichartz estimates; quantum graphs; INEQUALITIES; NETWORKS; GRAPH;
D O I：
10.1137/09076996X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Schrodinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We obtain Strichartz-like estimates for the linear semigroup and apply them to obtain well-posedness results for a nonlinear problem.
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收藏
页码：2041 / 2057
页数：17
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