Resumen de Local Time Decay for a Quasilinear Schrödinger Equation

J.E. Lin

• We study the solutions of a quasilinear Schr¨odinger 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 L2 norm of the solution approaches zero as time approaches the infinity.