Global existence of a nonlinear Schrodinger equation with viscous damping

被引：0

作者：

Hirata, Daisuke ^{[1
]}

机构：

[1] Tsuda Univ, Inst Math & Comp Sci, Kodaira, Tokyo 1878577, Japan

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2022年 / 22卷 / 02期

关键词：

GINZBURG-LANDAU EQUATION; FINITE-TIME BLOWUP; CAUCHY-PROBLEM; LOCAL SPACES; HEAT;

D O I：

10.1007/s00028-022-00800-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we consider a Schrodinger evolution equation with a power nonlinearity i vertical bar u vertical bar(alpha)u and a viscous damping term nu Delta u. Then, we demonstrate that the Cauchy problem always admits the global existence of classical solutions with finite mass. Moreover, we can also observe that our proof is applicable for a nonlinear complex Ginzburg-Landau equation.

引用

页数：8

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