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.
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页码：15 / 37
页数：23
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