Asymptotic behaviour of a transport equation
Ryszard Rudnicki (1992)
Annales Polonici Mathematici
Similarity:
We study the asymptotic behaviour of the semigroup of Markov operators generated by the equation . We prove that for a > 1 this semigroup is asymptotically stable. We show that for a ≤ 1 this semigroup, properly normalized, converges to a limit which depends only on a.