Methods and Applications of Analysis
Volume 16 (2009)
Local Time Decay for a Quasilinear Schrodinger Equation
Pages: 313 – 320
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.
Time decay; quasilinear Schrödinger equation
2010 Mathematics Subject Classification