## Methods and Applications of Analysis

### Local Time Decay for a Quasilinear Schrodinger Equation

J. E. Lin

#### Abstract

We study the solutions of a quasilinear Schrödinger equation which has been derived in many areas of physical modeling. Using the Morawetz Radial Identity, we show that the local energy of a solution is integrable in time and the local $L^2$ norm of the solution approaches zero as time approaches the infinity.

#### Article information

Source
Methods Appl. Anal., Volume 16, Number 3 (2009), 313-320.

Dates
First available in Project Euclid: 4 May 2010