5 citations · 8 across the 5 of their papers we have counts for
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Generation results for vector-valued elliptic operators with unbounded coefficients in L^p spaces
L. Angiuli, L. Lorenzi, E. M. Mangino +1
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) with p in (1,\infty). Suffici…
Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems
Davide Addona, Luciana Angiuli, Luca Lorenzi
We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the space of bounded and continuous functions over R^d and in L^p-spaces with respect to…
Non autonomous parabolic problems with unbounded coefficients in unbounded domains
Luciana Angiuli, Luca Lorenzi
Given a class of nonautonomous elliptic operators $\A(t)$ with unbounded coefficients, defined in $\overline{I \times \Om}$ (where is a right-halfline or and $\Om\subset…
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…
Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients
Luciana Angiuli, Luca Lorenzi
In this paper we consider nonautonomous elliptic operators with nontrivial potential term defined in , where is a right-halfline (possibly $I…