Lifespan of strong solutions to the periodic nonlinear Schrodinger equation without gauge invariance

被引：10

作者：

Fujiwara, Kazumasa ^{[1
]}

Ozawa, Tohru ^{[2
]}

机构：

[1] Waseda Univ, Dept Pure & Appl Phys, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, Japan

[2] Waseda Univ, Dept Appl Phys, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, Japan

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2017年 / 17卷 / 03期

基金：

日本学术振兴会;

关键词：

Periodic NLS; Power-type nonlinearity without gauge invariance; Lifespan estimate; Finite time blowup; DATA BLOW-UP;

D O I：

10.1007/s00028-016-0364-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A lifespan estimate and sharp condition of the initial data for finite time blowup for the periodic nonlinear Schrodinger equation are presented from a viewpoint of the total signed densities of initial data.

引用

页码：1023 / 1030

页数：8

共 14 条

[1]

BOURGAIN J, 1995, IAS PARK CITY MATH S, V5

[2]

Bourgain J., 1993, Geom. Funct. Anal., V3, P107

[3]

Bourgain J., 1993, Geom. Funct. Anal, V3, P157, DOI 10.1007/BF01896021

[4]

Fujiwara K., 2015, INT J MATH ANAL, V9, P2599, DOI DOI 10.12988/IJMA.2015.58211

[5] Remark on local solvability of the Cauchy problem for semirelativistic equations [J].

Fujiwara, Kazumasa .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 432 (02) :744-748

[6] GLOBAL WELL-POSEDNESS OF THE ENERGY-CRITICAL NONLINEAR SCHRODINGER EQUATION WITH SMALL INITIAL DATA IN H1 (T3) [J].

Herr, Sebastian ;

Tataru, Daniel ;

Tzvetkov, Nikolay .

DUKE MATHEMATICAL JOURNAL, 2011, 159 (02) :329-349

[7] Small data blow-up of L 2 or H 1-solution for the semilinear Schrodinger equation without gauge invariance [J].

Ikeda, Masahiro ;

Inui, Takahisa .

JOURNAL OF EVOLUTION EQUATIONS, 2015, 15 (03) :571-581

[8] Some non-existence results for the semilinear Schrodinger equation without gauge invariance [J].

Ikeda, Masahiro ;

Inui, Takahisa .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 425 (02) :758-773

[9]

Ikeda M, 2013, DIFFER INTEGRAL EQU, V26, P1275

[10] SOME NONEXISTENCE RESULTS FOR A SEMIRELATIVISTIC SCHRODINGER EQUATION WITH NONGAUGE POWER TYPE NONLINEARITY [J].

Inui, Takahisa .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (07) :2901-2909

← 1 2 →