Article

On the solvability of initial boundary value problems for nonlinear time-dependent Schrödinger equations

Published in: Quaestiones Mathematicae
Volume 39 , issue 6 , 2016 , pages: 751–771

DOI: 10.2989/16073606.2016.1167135

Author(s): Nigar Yildirim Aksoy Department of Mathematics, Faculty of Sciences and Arts, Turkey , Yusuf Kocak Department of Mathematics, Turkey , Yasemin Ozeroglu Department of Mathematics, Faculty of Sciences and Arts, Turkey

Keywords: 35Q41 , 35K20 , 35A01 , 35Q41 , 35K20 , 35A01

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Abstract

In this paper, we study the initial boundary value problems for a nonlinear time-dependent Schrödinger equation with Dirichlet and Neumann boundary conditions, respectively. We prove the existence and uniqueness of solutions of the initial boundary value problems by using Galerkin’s method.

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