This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …

Now back in print by the AMS, this is a significantly revised edition of a book originally
published in 1987 by Academic Press. This book gives the reader an introduction to the …

We consider a system of N interacting particles, governed by transport and diffusion, that
converges in a mean-field limit to the solution of a McKean–Vlasov equation. From the …

The second edition of this book has a new title that more accurately reflects the table of
contents. Over the past few years, many new results have been proven in the field of partial …

We consider a class of nonautonomous parabolic first-order coupled systems in the
Lebesgue space L p (R d; R m)(d, m≥ 1) with p∈[1,+∞). Sufficient conditions for the …

We consider a class of weakly coupled systems of elliptic operators A with unbounded
coefficients defined in R^ N. We prove that a semigroup (T (t)) t≥ 0 of bounded linear …

We prove that a family of linear bounded evolution operators (G (t, s)) t≥ s∈ I can be
associated, in the space of vector-valued bounded and continuous functions, to a class of …

In this paper, we deal with weakly coupled elliptic systems \mathcalA with unbounded
coefficients. We prove the existence and characterize all the systems of invariant measures …

We consider a class of vector-valued elliptic operators with unbounded coefficients, coupled
up to the first order, in the Lebesgue space L^ p (R^ d; R^ m) L p (R d; R m) with p ∈ (1, ∞) …

We study the Cauchy problem associated to parabolic systems of the form $ D_t\boldsymbol
{u}=\boldsymbol {\mathcal A}(t)\boldsymbol u $ in $ C_b (\mathbb {R}^ d;\mathbb {R}^ m) …