Wave front propagation in semi-linear differential equations and systems of KPP-type
The author investigates by means of the theory of Markov processes and Markov times the asymptotic behavior as \(\varepsilon \to 0\) of the solution of the problem \[ D_ t u^ \varepsilon = \varepsilon Lu^ \varepsilon + {1 \over \varepsilon} f(x,u^ \varepsilon),\quad x \in \mathbb{R}^ r, \;t>0, \qquad u^ \varepsilon (0,x) = g(x), \quad x \in \mathbb{R}^ r, \] where \(L\) is a uniformly elliptic operator in nondivergence form and with smooth coefficients.
scientific article; zbMATH DE number 640340