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).
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页码：4631 / 4642
页数：12
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