On short -time bilinear Strichartz estimates and applications to the Shrira equation ?

被引：5
|
作者：
Schippa, Robert [1 ]
机构：
[1] Univ Bielefeld, Fak Math, Postfach 10 01 31, D-33501 Bielefeld, Germany
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 198卷 / 198期
关键词：
GLOBAL WELL-POSEDNESS; BENJAMIN-ONO-EQUATION; NONLINEAR SCHRODINGER-EQUATION; INITIAL-VALUE PROBLEM; CAUCHY-PROBLEM; SOBOLEV SPACES; ENERGY; BOUNDS; REGULARITY; L-2;
D O I：
10.1016/j.na.2020.111910
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Short-time bilinear Strichartz estimates for Schrödinger-like equations on tori are proved, which resemble the bilinear Strichartz estimates on Euclidean space. By this and a known combination of perturbative and energy arguments, we improve the well-posedness theory for the Shrira equation. © 2020 Elsevier Ltd
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页数：22
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