Solvability of boundary value problems for the general Schrödinger equation via Schrödinger-type identity methods. (July 2020)

• Record Type: Journal Article
• Authors: Chen, Mei; Zhu, Xia
• Is Part Of: Nonlinear analysis. Volume 196(2020)
• Publication Date: 2020-07
• Subjects: Schrödinger-type identity -- Uniqueness -- Nonlinear Schrödinger boundary value problem; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111828
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this article we consider a free boundary value problem for the general Schrödinger equations with density-dependent viscosity coefficients by applying a powerful technique based on the Schrödinger-type identity method. Under certain assumptions imposed on the initial data, there exists a unique solution for this equation mentioned above. Finally, we also give an application, which reveals that the Schrödinger-type identity method is effective and simple.