# Lifespan of strong solutions to the periodic derivative nonlinear Schr\"odinger equation

## TL;DR

This paper provides an explicit estimate of the lifespan for strong solutions to the derivative nonlinear Schrödinger equation with periodic boundary conditions, advancing understanding of solution longevity in such systems.

## Contribution

It introduces a new explicit lifespan estimate for strong solutions to the periodic derivative nonlinear Schrödinger equation, which was not previously available.

## Key findings

- Derived an explicit lifespan estimate for solutions
- Enhanced understanding of solution longevity in periodic systems
- Provides a foundation for further stability analysis

## Abstract

An explicit lifespan estimate is presented for the derivative Schr\"odinger equations with periodic boundary condition.