Methods and Applications of Analysis

Local Time Decay for a Quasilinear Schrodinger Equation

J. E. Lin

Full-text: Open access

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

Permanent link to this document
https://projecteuclid.org/euclid.maa/1273002795

Mathematical Reviews number (MathSciNet)
MR2650799

Zentralblatt MATH identifier
1193.35210

Subjects
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]

Keywords
Time decay quasilinear Schrödinger equation

Citation

Lin, J. E. Local Time Decay for a Quasilinear Schrodinger Equation. Methods Appl. Anal. 16 (2009), no. 3, 313--320. https://projecteuclid.org/euclid.maa/1273002795


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