Factorization technique for the fourth-order nonlinear Schrodinger equation

被引：21

作者：

Hayashi, Nakao ^{[1
]}

Naumkin, Pavel I. ^{[2
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Osaka, Toyonaka 5600043, Japan

[2] Ctr Ciencias Matemat, Morelia 58089, Michoacan, Mexico

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 05期

关键词：

Fourth-order nonlinear Schrodinger equation; Factorization formula; Large time asymptotics of solutions; Logarithmic phase correction; Critical order of nonlinearity; GLOBAL WELL-POSEDNESS; SCATTERING-THEORY; EXISTENCE;

D O I：

10.1007/s00033-015-0524-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for the cubic fourth-order nonlinear Schrodinger equation where We introduce the factorization formula for the free evolution group to prove the global existence of solutions. Also we show that the large time asymptotics of solutions has a logarithmic correction in the phase comparing with the corresponding linear case.

引用

页码：2343 / 2377

页数：35

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