On the nonlinear diffusion equation of Kolmogorov, Petrovsky, and Piscounov

Abstract

AbstractRecently, Bramson proved a theorem that classifies the initial data under which solutions of the K-P-P equation converge to the appropriate travelling waves. In this paper, a simplified proof is given by using maximal principles instead of his Brownian motion approach. The regularity condition on the forcing term is also weakened