Blow-up rate for critical nonlinear Schrödinger equation with Stark potential

Abstract

We consider the blow-up solutions of the Cauchy problem for the critical nonlinear Schrödinger equation with Stark potential and the sharp lower and upper bounds of blow-up rate are established.

Keywords:

• blow-up rate
• nonlinear Schrödinger equation
• Stark potential

Mathematics Subject Classifications 2000 :

• 35F25
• 35Q55

Acknowledgement

This work was supported by National Natural Science Foundation of P.R. China (No. 10771151).