Multipoint Cauchy problem for Schr\"odinger type equations with general elliptic part

TL;DR

This paper investigates the mathematical properties of solutions to multipoint Cauchy problems for Schrödinger equations with general elliptic operators, establishing existence, uniqueness, regularity, and Strichartz estimates.

Contribution

It provides new theoretical results on the well-posedness and estimates for Schrödinger equations with general elliptic parts, extending previous work to more general operators.

Findings

Existence and uniqueness of solutions established.

Regularity properties of solutions demonstrated.

Strichartz type estimates derived for the solutions.

Abstract

In this paper, the existence, uniqueness and regularity properties, Strichartz type estimates for solution of multipoint Cauchy problem for linear and nonlinear Schr\"odinger equations with general elliptic leading part is obtained.