Gradient estimates and the smooth convergence of approximate travelling waves for reaction-diffusion equations
File(s)
Accepted version
Author(s)
Li, Xue-Mei
Zhao, HZ
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.
Date Issued
1996
Citation
Nonlinearity, 1996, 9, pp.459-477
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
Identifier
http://dx.doi.org/10.1088/0951-7715/9/2/010
Subjects
0102 Applied Mathematics
General Mathematics
Notes
mrclass: 35K57 (35B40) mrnumber: 1384486 mrreviewer: Wenxian Shen
Article Number
2