A note on decay rates for Schrödinger’s equation

Xie, Jian; Zhang, Linzi; Cazenave, Thierry

doi:10.1090/S0002-9939-09-10049-7

A note on decay rates for Schrödinger’s equation
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by Jian Xie, Linzi Zhang and Thierry Cazenave PDF

Proc. Amer. Math. Soc. 138 (2010), 199-207 Request permission

Abstract:

We prove the existence of solutions of the Schrödinger equation on $\mathbb {R}^N$ which decay, in various $L^p$ spaces, at different rates along different time sequences going to infinity. We establish a similar result for a nonlinear Schrödinger equation.

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