The Solvability of First Type Boundary Value Problem for a Schrödinger Equation

Abstract

The paper presents an first type boundary value problem for a Schrödinger equation. The aim of paper is to give the existence and uniqueness theorems of the boundary value problem using Galerkin’s method. Also, a priori estimate for its solution is given.

Keywords

• first type boundary value problem
• schrödinger equation
• galerkin’s method
• 35q41
• 35k20
• 35a01