Asymptotic Behavior of the Subordinated Traveling Waves

26 Feb 2020 · Yuri Kondratiev, José Luís da Silva ·

In this paper we investigate the long-time behavior of the subordination of the constant speed traveling waves by a general class of kernels. We use the Feller--Karamata Tauberian theorem in order to study the long-time behavior of the upper and lower wave. As a result we obtain the long-time behavior for the propagation of the front of the wave.