Methods and Applications of Analysis
- Methods Appl. Anal.
- Volume 16, Number 3 (2009), 313-320.
Local Time Decay for a Quasilinear Schrodinger Equation
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.
Methods Appl. Anal., Volume 16, Number 3 (2009), 313-320.
First available in Project Euclid: 4 May 2010
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
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