A note on decay rates for Schrödinger's equation
Authors:
Jian Xie, Linzi Zhang and Thierry Cazenave
Journal:
Proc. Amer. Math. Soc. 138 (2010), 199207
MSC (2000):
Primary 35Q55
Published electronically:
August 19, 2009
MathSciNet review:
2550184
Fulltext PDF
Abstract 
References 
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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 JacquesLouis Lions, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France
Email:
thierry.cazenave@upmc.fr
DOI:
http://dx.doi.org/10.1090/S0002993909100497
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.
