# Regularity properties of nonlinear Schr\"odinger equations in vector-valued spaces

## TL;DR

This paper investigates the regularity properties of solutions to both linear and nonlinear Schrödinger equations within vector-valued function spaces, advancing the understanding of their mathematical behavior.

## Contribution

It provides new regularity results for Schrödinger equations in abstract vector-valued spaces, extending previous scalar-based analyses.

## Key findings

- Established regularity criteria for solutions in vector-valued spaces
- Extended known results from scalar to vector-valued Schrödinger equations
- Provided foundational insights for further research in nonlinear PDEs

## Abstract

In this paper, regularity properties of Cauchy problem for linear and nonlinear abstract Schr\"odinger equations in vector-valued function spaces are obtained.