Gradient estimates and the smooth convergence of approximate travelling waves for reaction-diffusion equations

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Title: Gradient estimates and the smooth convergence of approximate travelling waves for reaction-diffusion equations
Authors: Li, X-M
Zhao, HZ
Item Type: Journal Article
Abstract: The space derivatives of Freidlin's travelling wave like solutions of generalized KPP equations are considered in this paper. We give estimates of the first two space derivatives on the wave front and show that the travelling wave is nearly flat on the trough and on the crest. Differentiation of heat semigroups, logarithmic transformation and semi-classical analysis based on stochastic analysis are the main tools used here.
Issue Date: 1-Mar-1996
URI: http://hdl.handle.net/10044/1/54082
DOI: https://dx.doi.org/10.1088/0951-7715/9/2/010
ISSN: 0951-7715
Start Page: 459
End Page: 477
Journal / Book Title: Nonlinearity
Volume: 9
Copyright Statement: © 1996 IOP Publishing Ltd and LMS Publishing Ltd
Keywords: 0102 Applied Mathematics
General Mathematics
Notes: mrclass: 35K57 (35B40) mrnumber: 1384486 mrreviewer: Wenxian Shen
Article Number: 2
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences



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