L∞C(ℝn)-decay of classical solutions for nonlinear Schrödinger equations

Abstract
Synopsis: We study the initial value problem for the nonlinear Schrödinger equation Under suitable regularity assumptions on f and ø and growth and sign conditions on f, it is shown that the maximum norms of solutions to (*) decay as t→² ∞ at the same rate as that of solutions to the free Schrödinger equation.

This publication has 23 references indexed in Scilit: