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We extend a result of Freidlin and Gartner (1979) for KPP (Kol\-mo\-gorov-Petrovskii-Piskunov) wave fronts to the case $d\ge 2$ for i.i.d. (independent and identically distributed) random media. We show a wave front propagation speed is attained for the discrete-space (lattice) KPP using a large deviation approach.

Copyright 1997 American Mathematical Society

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Article Info

• ERA Amer. Math. Soc. 03 (1997), pp. 121-125
• Publisher Identifier: S 1079-6762(97)00036-X
• 1991 Mathematics Subject Classification. Primary 60J60; Secondary 35K55
• Key words and phrases. KPP equation, random media, large deviations
• Received by the editors June 20, 1997
• Posted on November 4, 1997
• Communicated by Mark Freidlin
• Comments

Tzong-Yow Lee

Department of Mathematics, University of Maryland, College Park, MD 20742

E-mail address: tyl@math.umd.edu

Fred Torcaso

Department of Mathematics, University of Maryland, College Park, MD 20742

E-mail address: torcaso@math.umd.edu

This work was supported under NSF Grant DMS-95-04177 while the second author was research assistant at the University of Maryland.