文章基本信息

标题：Nonlinear conservation laws for the Schrödinger boundary value problems of second order
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作者：Ming Ren ; Shiwei Yun ; Zhenping Li 等
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2020
卷号：2020
期号：1
页码：1-14
DOI：10.1186/s13661-019-01311-5
出版社：Hindawi Publishing Corporation
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..
关键词：Conservation law ; Schrödinger boundary value problem ; Schrödinger equation ;