Existence and stabilty of multidimensional travelling waves in the monostable case

Authors
Volpert, VA Volpert, AI
Citation
Va. Volpert et Ai. Volpert, Existence and stabilty of multidimensional travelling waves in the monostable case, ISR J MATH, 110, 1999, pp. 269-292
Citations number
21
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
110
Year of publication
1999
Pages
269 - 292
Database
ISI
SICI code
0021-2172(1999)110:<269:EASOMT>2.0.ZU;2-B
Abstract
The paper is devoted to the existence and stability of travelling waves des cribed by monotone parabolic systems in the monostable case. The first init ial-boundary value problem is considered. Existence of waves is proved for all values of the velocity greater than or equal to the minimal. velocity A minimax representation for the minimal velocity is obtained. Stability of monotone waves in a weighted norm is proved.