Dissipative property for higher order nonlinear Schrödinger equation

被引：0
作者：
Naumkin P.I. [1 ]
Sánchez-Suárez I. [2 ]
机构：
[1] Centro de Ciencias Matemáticas UNAM Campus Morelia, AP 61-3 (Xangari) Morelia CP 58089, Michoacán, México
[2] Universidad Politécnica de Uruapan
来源：
Nonlinear Analysis, Theory, Methods and Applications | 2019年 / 188卷
关键词：
Decay estimates; Dispersive equations; Nonlinear Schrödinger equation; Scattering theory;
D O I：
10.1016/j.na.2019.05.018
中图分类号：
O172 [微积分];
学科分类号：
摘要：
We consider the Cauchy problem for the higher-order nonlinear Schrödinger equation i∂tu+1/2∂x 2u−1/4∂x 4u=i3λ1u3+λ2u2u,t>1,x∈R,u1,x=u0x,x∈R,where the coefficients 0<λ1<λ2. The aim of the present paper is to prove the global existence of solutions to (??). Also we find the large time decay estimates for the solutions. © 2019 Elsevier Ltd
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页码：91 / 124
页数：33
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