Cao Yang
Professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Gender:Female
Alma Mater:Jilin University
Degree:Doctoral Degree
School/Department:School of Mathematical Sciences
Discipline:Applied Mathematics
E-Mail:mathcy@dlut.edu.cn
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Indexed by:期刊论文
Date of Publication:2014-05-01
Journal:DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Included Journals:SCIE
Volume:19
Issue:3
Page Number:801-815
ISSN No.:1531-3492
Key Words:Traveling fronts; singular perturbation method; spectral analysis; Evans function; exponential stability
Abstract:This paper is concerned with the stability of traveling front solutions for a viscous Fisher-KPP equation. By applying geometric singular perturbation method, special Evans function estimates, detailed spectral analysis and C-0 semigroup theories, each traveling front solution with wave speed c < -2 root f'(0) is proved to be locally exponentially stable in some appropriate exponentially weighted spaces.