Scattering of solutions to the fourth-order nonlinear Schrodinger equation

被引：8

作者：

Hayashi, Nakao ^{[1
]}

Mendez-Navarro, Jesus A. ^{[2
]}

Naumkin, Pavel I. ^{[2
]}

机构：

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

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

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2016年 / 18卷 / 03期

关键词：

Fourth-order nonlinear Schrodinger equation; large time asymptotics; GLOBAL WELL-POSEDNESS; INITIAL-VALUE PROBLEM; CAUCHY-PROBLEM; LARGE TIME; ASYMPTOTICS; EXISTENCE;

D O I：

10.1142/S0219199715500352

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 fourth-order nonlinear Schrodinger equation {i partial derivative(t) u + 1/4 partial derivative(4)(x) u = lambda vertical bar u vertical bar (rho-1) u, t > 0, x is an element of R, n(0, x) = u(0) (x), x is an element of R, where lambda is an element of C, rho > 4. We introduce the factorization for the free evolution group to prove the large time asymptotics of solutions.

引用

页数：24

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