Schrödinger-type identity for Schrödinger free boundary problems

Schrödinger-type identity for Schrödinger free boundary problems

Abstract Our aim in this paper is to develop a Schrödinger-type identity for a Schrödinger free boundary problem in Rn $\mathbb{R}^{n}$. As an application, we establish necessary and sufficient conditions for the product of some distributional functions to satisfy the Schrödinger-type identity. As a...

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Bibliographic Details
Main Authors: Xingjian Zhang, Duo Liu, Zining Yan, Guodong Zhao, Ye Yuan
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Boundary Value Problems
Subjects:
Schrödinger-type identity
Schrödinger transform
Distribution
Online Access:http://link.springer.com/article/10.1186/s13661-018-1058-z
Description
Summary:Abstract Our aim in this paper is to develop a Schrödinger-type identity for a Schrödinger free boundary problem in Rn $\mathbb{R}^{n}$. As an application, we establish necessary and sufficient conditions for the product of some distributional functions to satisfy the Schrödinger-type identity. As a consequence, our results significantly improve and generalize previous work.
ISSN:1687-2770

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