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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Uniqueness of traveling waves for nonlocal lattice equations


Authors: Jian Fang, Junjie Wei and Xiao-Qiang Zhao
Journal: Proc. Amer. Math. Soc. 139 (2011), 1361-1373
MSC (2010): Primary 34K31, 35B40, 74G30
Published electronically: August 25, 2010
MathSciNet review: 2748428
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Abstract: We establish the uniqueness (up to translation) of traveling waves for a nonlocal lattice equation with time delay. Our approach is based on exact a priori asymptotics of the wave profiles. This we accomplish by developing a structure theorem of entire solutions to a class of linear integro-differential equations.


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Additional Information

Jian Fang
Affiliation: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, People’s Republic of China
Address at time of publication: Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C5S7, Canada
Email: jfang@mun.ca

Junjie Wei
Affiliation: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, People’s Republic of China
Email: weijj@hit.edu.cn

Xiao-Qiang Zhao
Affiliation: Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C5S7, Canada
Email: zhao@mun.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10540-3
PII: S 0002-9939(2010)10540-3
Received by editor(s): October 21, 2009
Received by editor(s) in revised form: April 15, 2010
Published electronically: August 25, 2010
Additional Notes: This research is supported in part by the Chinese Government Scholarship (for the first author), the NSF of China (No. 10771045) (for the second author), and the NSERC of Canada and the MITACS of Canada (for the third author).
Communicated by: Yingfei Yi
Article copyright: © Copyright 2010 American Mathematical Society