Nonlinear conservation laws for the Schrödinger boundary value problems of second order

被引：0
|
作者：
Ming Ren
Shiwei Yun
Zhenping Li
机构：
[1] Luoyang Institute of Science and Technology,Department of Mathematics and Physics
来源：
Boundary Value Problems | / 2020卷
关键词：
Conservation law; Schrödinger boundary value problem; Schrödinger equation;
D O I：
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学科分类号：
摘要：
In this paper, we apply a reliable combination of maximum modulus method with respect to the Schrödinger operator and Phragmén–Lindelöf method to investigate nonlinear conservation laws for the Schrödinger boundary value problems of second order. As an application, we prove the global existence to the solution for the Cauchy problem of the semilinear Schrödinger equation. The results reveal that this method is effective and simple.
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