Existence and uniqueness of global solutions of on R2

被引：3

作者：

Jiu Q. ^{[1
]}

Liu J. ^{[2
]}

机构：

[1] Department of Mathematics, Capital Normal University

[2] Institute of Applied Mathematics, Chinese Academy of Sciencfles

来源：

Acta Mathematicae Applicatae Sinica | 1997年 / 13卷 / 4期

关键词：

Iteration; Nonlinear Schrödinger equations;

D O I：

10.1007/BF02009551

中图分类号：

学科分类号：

摘要：

In this paper, we consider the solutions of the nonlinear Schrödinger equations ∂u/∂t - iΔu + |u|Pu=f and u(x,0)=u 0(x), where u is defined on R+ x R2. We prove the existence and uniqueness of global weak solutions of the above equations. Lastly, we consider the special case: p=2, and we obtain the strong solutions.

引用

页码：414 / 424

页数：10

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