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Regularity results for elliptic and parabolic systems of partial differential equations
Luciana Angluli, Simone Ferrari, Luca Lorenzi
We study Cauchy problems associated to elliptic operators acting on vector-valued functions and coupled up to the first-order. We prove pointwise estimates for the spatial derivati…
On coupled systems of PDEs with unbounded coefficients
Luciana Angiuli, Luca Lorenzi
We study the Cauchy problem associated to parabolic systems of the form in , the space o…
Invariant measures for systems of Kolmogorov equations
Davide Addona, Luciana Angiuli, Luca Lorenzi
In this paper we provide sufficient conditions which guarantee the existence of a system of invariant measures for semigroups associated to systems of parabolic differential equati…
On invariant measures associated to weakly coupled systems of Kolmogorov equations
Davide Addona, Luciana Angiuli, Luca Lorenzi
In this paper, we deal with weakly coupled elliptic systems with unbounded coefficients. We prove the existence and characterize all the systems of invari…
On the estimates of the derivatives of solutions to nonautonomous Kolmogorov equations and their consequences
Luciana Angiuli, Luca Lorenzi
We consider evolution operators associated to a class of nonautonomous elliptic operators with unbounded coefficients, in the space of bounded and continuous functions ove…
On coupled systems of Kolmogorov equations with applications to stochastic differential games
D. Addona, L. Angiuli, L. Lorenzi +1
We prove that a family of linear bounded evolution operators can be associated, in the space of vector-valued bounded and continuous functions, to a…