Enhancement of the Zakharov-Glassey's method for Blow-Up in nonlinear Schroedinger equations

TL;DR

This paper improves the Zakharov-Glassey's method to provide a more precise condition for predicting blow-up in solutions of nonlinear Schrödinger equations with various potentials.

Contribution

It introduces a sharper criterion for blow-up, enhancing the classical Zakharov-Glassey's method for nonlinear Schrödinger equations with different potentials.

Findings

Sharper blow-up condition established

Improved analytical technique for nonlinear Schrödinger equations

Enhanced understanding of solution behavior under potentials

Abstract

In this paper we give a sharper condition for the blow-up of the solution to a nonlinear Schroedinger equation with free/Stark/quadratic potential by improving the well known Zakharov-Glassey's method.