HIGHER-ORDER NONLINEAR SCHRODINGER EQUATION IN 2D CASE

被引：0

作者：

Hayashi, Nakao ^{[1
]}

Naumkin, Pavel, I ^{[2
]}

机构：

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

[2] UNAM, Ctr Ciencias Matemat, Campus Morelia,AP 61-3 Xangari, Morelia 58089, Michoacan, Mexico

来源：

TOHOKU MATHEMATICAL JOURNAL | 2020年 / 72卷 / 01期

关键词：

Higher-order Schrodinger; critical problem; asymptotic behavior; two dimensional; LONG-RANGE SCATTERING; GLOBAL EXISTENCE; LARGE TIME; ASYMPTOTICS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Cauchy problem for the higher-order nonlinear Schrodinger equation in two dimensional case {i partial derivative(t)u( + )b/2 Delta u- 1/4 Delta(2)u = lambda vertical bar u vertical bar u, t > 0,x is an element of R(2. )u( 0 - x) = u0 (x), x is an element of R-2, where lambda is an element of R, b > 0. We develop the factorization techniques for studying the large time asymptotics of solutions to the above Cauchy problem. We prove that the asymptotics has a modified character.

引用

页码：15 / 37

页数：23

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