Global existence and asymptotic behavior of the Cauchy problem for fourth-order Schrodinger equations with combined power-type nonlinearities

被引：5

作者：

Guo, Cuihua ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 392卷 / 02期

基金：

美国国家科学基金会;

关键词：

Fourth-order Schrodinger equation; Combined power-type nonlinearities; Cauchy problem; Global existence; Asymptotic behavior; WELL-POSEDNESS; DISPERSION; SCATTERING; SPACES;

D O I：

10.1016/j.jmaa.2012.03.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the global existence of solutions in Sobolev spaces and the asymptotic behavior for the Cauchy problem of the following fourth-order Schrodinger equation with combined power-type nonlinearities iu(t) + Delta(2)u + lambda(1)vertical bar u vertical bar(p)u + lambda(2)vertical bar u vertical bar(8/n-4) u = 0, where t epsilon R, x epsilon R-n, 8/n <= p < 8/n-4, lambda(1), lambda(2) are nonzero real numbers. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：111 / 122

页数：12

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