Author:
Ren Ming,Yun Shiwei,Li Zhenping
Abstract
AbstractIn 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.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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