25 citations · 78 across the 16 of their papers we have counts for
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math.AP2012★ 2 cited
Sobolev regularity for a class of second order elliptic PDE's in infinite dimension
Giuseppe Da Prato, Alessandra Lunardi
We consider an elliptic Kolmogorov equation in a separable Hilbert space . The Kolmogorov operator is associated to an infinite dimensional convex gradient sys…
math.AP2012★ 5 cited
Hypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations
L. Angiuli, L. Lorenzi, A. Lunardi
We consider a class of nonautonomous second order parabolic equations with unbounded coefficients defined in , where is a right-halfline. We prove logarithmic Sobo…
math.AP2012★ 2 cited
Maximal regularity for Dirichlet problems in Hilbert spaces
Giuseppe Da Prato, Alessandra Lunardi
We consider the Dirichlet problem in \mathcal{O}, U=0 on . Here where is a nondegenerate centered Gaus…