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Izvestiya: Mathematics, 2014, Volume 78, Issue 2, Pages 251–267
DOI: https://doi.org/10.1070/IM2014v078n02ABEH002687 (Mi im8062) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Global stability of travelling wave fronts for non-local diffusion equations with delay

X. Wang, G. Lv

Henan University
English version PDF (317 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2014v078n02ABEH002687
Abstract: This paper is concerned with the global stability of travelling wave fronts for non-local diffusion equations with delay. We prove that the non-critical travelling wave fronts are globally exponentially stable under perturbations in some exponentially weighted $L^\infty$-spaces. Moreover, we obtain the decay rates of $\sup_{x\in\mathbb{R}}|u(x,t)-\varphi(x+ct)|$ using weighted energy estimates.
Keywords: stability, non-local reaction-diffusion equations, delay, travelling wave fronts, weighted energy estimate.
Funding agency Grant number
National Natural Science Foundation of China NSFC 11226168
11171064
11226168
Natural Science Foundation of Jiangsu Province BK2011583
Received: 28.09.2012
Revised: 20.01.2013
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 2, Pages 43–60
DOI: https://doi.org/10.4213/im8062
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35K57, 35R10, 35B40, 58D25
Language: English
Original paper language: Russian
Citation: X. Wang, G. Lv, “Global stability of travelling wave fronts for non-local diffusion equations with delay”, Izv. RAN. Ser. Mat., 78:2 (2014), 43–60; Izv. Math., 78:2 (2014), 251–267
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v78/i2/p43
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:305
    Russian version PDF:127
    English version PDF:5
    References:62
    First page:43
     
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