SHARP CONDITION OF GLOBAL WELL-POSEDNESS FOR INHOMOGENEOUS NONLINEAR SCHRODINGER EQUATION

被引：0

作者：

Yang, Chao ^{[1
]}

机构：

[1] Harbin Engn Univ, Coll Math Sci, 145 Nantong St, Harbin 150001, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 12期

关键词：

Inhomogeneous nonlinear Schrodinger equation; potential well; global existence; blowup; BLOW-UP SOLUTIONS; STANDING WAVES; SOLITARY WAVES; STABILITY; INSTABILITY; EXISTENCE;

D O I：

10.3934/dcdss.2021136

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the Cauchy problem of Schrodinger equation with inhomogeneous nonlinear term V (x)vertical bar phi vertical bar(p-1) phi in R-n. For the case p > 1 + 4(1+epsilon(0))/n (0 < epsilon(0) < 2/n-2), by introducing a potential well, we obtain some invariant sets of solution and give a sharp condition of global existence and finite time blowup of solution; for the case p < 1 + 4/n, we obtain the global existence of solution for any initial data in H-1 (R-n).

引用

页码：4631 / 4642

页数：12

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