Uniqueness of traveling waves for nonlocal lattice equations
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- by Jian Fang, Junjie Wei and Xiao-Qiang Zhao PDF
- Proc. Amer. Math. Soc. 139 (2011), 1361-1373 Request permission
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.References
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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
- MR Author ID: 241619
- Email: zhao@mun.ca
- 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
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 1361-1373
- MSC (2010): Primary 34K31, 35B40, 74G30
- DOI: https://doi.org/10.1090/S0002-9939-2010-10540-3
- MathSciNet review: 2748428