TRANSITION FRONTS IN NONLOCAL EQUATIONS WITH TIME HETEROGENEOUS IGNITION NONLINEARITY
被引:9
作者:
Shen, Wenxian
论文数: 0引用数: 0
h-index: 0
机构:
Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USAAuburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
Shen, Wenxian
[1
]
Shen, Zhongwei
论文数: 0引用数: 0
h-index: 0
机构:
Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, CanadaAuburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
Shen, Zhongwei
[1
,2
]
机构:
[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
The present paper is devoted to the study of transition fronts in nonlocal reaction-diffusion equations with time heterogeneous nonlinearity of ignition type. It is proven that such an equation admits space monotone transition fronts with finite speed and space regularity in the sense of uniform Lipschitz continuity. Our approach is first constructing a sequence of approximating front-like solutions and then proving that the approximating solutions converge to a transition front. We take advantage of the idea of modified interface location, which allows us to characterize the finite speed of approximating solutions in the absence of space regularity, and leads directly to uniform exponential decaying estimates.
机构:
Ecole Hautes Etud Sci Sociales, CAMS, 190-198 Ave France, F-75013 Paris, FranceEcole Hautes Etud Sci Sociales, CAMS, 190-198 Ave France, F-75013 Paris, France
Berestycki, Henri
Coville, Jerome
论文数: 0引用数: 0
h-index: 0
机构:
INRA, UR Biostat & Processus Spatiaux 546, Domaine St Paul Site Agroparc, F-84000 Avignon, FranceEcole Hautes Etud Sci Sociales, CAMS, 190-198 Ave France, F-75013 Paris, France
机构:
Ecole Hautes Etud Sci Sociales, CAMS, 190-198 Ave France, F-75013 Paris, FranceEcole Hautes Etud Sci Sociales, CAMS, 190-198 Ave France, F-75013 Paris, France
Berestycki, Henri
Coville, Jerome
论文数: 0引用数: 0
h-index: 0
机构:
INRA, UR Biostat & Processus Spatiaux 546, Domaine St Paul Site Agroparc, F-84000 Avignon, FranceEcole Hautes Etud Sci Sociales, CAMS, 190-198 Ave France, F-75013 Paris, France