In this paper, we deal with weakly coupled elliptic systems with unbounded coefficients. We prove the existence and characterize all the systems of invariant measures for the associated semigroup associated C_b(R^d;R^m). We also show some relevant properties of the extension of the semigroup to the L^p-spaces related to systems of invariant measures. Finally, we study the asymptotic behaviour of the semigroup as t tends to infinity.
On invariant measures associated to weakly coupled systems of Kolmogorov equations / Addona, Davide; Angiuli, Luciana; Lorenzi, Luca Francesco Giuseppe. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 24:3-4(2019), pp. 137-184.
|Appare nelle tipologie:||1.1 Articolo su rivista|