AN EXTENSION OF WRIGHT'S 3/2-THEOREM FOR THE KPP-FISHER DELAYED EQUATION

作者:Hasik Karel*; Trofimchuk Sergei
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143(7): 3019-3027.
DOI:10.1090/s0002-9939-2015-12496-3

摘要

We present a short proof of the following natural extension of Wright's famous 3/2-stability theorem: the conditions tau <= 3/2, c >= 2 imply the presence of the positive traveling fronts (not necessarily monotone) u = phi(x . nu + ct), vertical bar nu vertical bar = 1, in the delayed KPP-Fisher equation u(t)(t, x) = Delta u(t, x) + u(t, x)(1 - u(t - tau, x)), u >= 0, x is an element of R-m.

  • 出版日期2015-7