A note on decay rates for Schrödinger's equation

Authors:
Jian Xie, Linzi Zhang and Thierry Cazenave

Journal:
Proc. Amer. Math. Soc. **138** (2010), 199-207

MSC (2000):
Primary 35Q55

DOI:
https://doi.org/10.1090/S0002-9939-09-10049-7

Published electronically:
August 19, 2009

MathSciNet review:
2550184

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We prove the existence of solutions of the Schrödinger equation on which decay, in various 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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Additional Information

**Jian Xie**

Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, 310058, People’s Republic of China

Email:
sword711@gmail.com

**Linzi Zhang**

Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, 310058, People’s Republic of China

Email:
linzi0116@gmail.com

**Thierry Cazenave**

Affiliation:
Université Pierre et Marie Curie & CNRS, Laboratoire Jacques-Louis Lions, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France

Email:
thierry.cazenave@upmc.fr

DOI:
https://doi.org/10.1090/S0002-9939-09-10049-7

Keywords:
Schr\"odinger's equation,
asymptotic behavior,
decay rate

Received by editor(s):
March 3, 2009

Published electronically:
August 19, 2009

Additional Notes:
The first two authors were supported by NSFC 10871175

Communicated by:
Walter Craig

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.