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A note on decay rates for Schrödinger's equation
Author(s):
Jian
Xie;
Linzi
Zhang;
Thierry
Cazenave
Journal:
Proc. Amer. Math. Soc.
138
(2010),
199-207.
MSC (2000):
Primary 35Q55
Posted:
August 19, 2009
MathSciNet review:
2550184
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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 Jacques-Louis Lions, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France
Email:
thierry.cazenave@upmc.fr
DOI:
10.1090/S0002-9939-09-10049-7
PII:
S 0002-9939(09)10049-7
Keywords:
Schr\"odinger's equation,
asymptotic behavior,
decay rate
Received by editor(s):
March 3, 2009
Posted:
August 19, 2009
Additional Notes:
The first two authors were supported by NSFC 10871175
Communicated by:
Walter Craig
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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