曹杨

个人信息Personal Information

教授

博士生导师

硕士生导师

性别:女

毕业院校:吉林大学

学位:博士

所在单位:数学科学学院

学科:应用数学

电子邮箱:mathcy@dlut.edu.cn

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EXPONENTIAL STABILITY OF THE TRAVELING FRONTS FOR A VISCOUS FISHER-KPP EQUATION

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论文类型:期刊论文

发表时间:2014-05-01

发表刊物:DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

收录刊物:SCIE

卷号:19

期号:3

页面范围:801-815

ISSN号:1531-3492

关键字:Traveling fronts; singular perturbation method; spectral analysis; Evans function; exponential stability

摘要: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.