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math.AP2021
Ornstein--Uhlenbeck Semigroups on Star Graphs
Delio Mugnolo, Abdelaziz Rhandi
We prove first existence of a classical solution to a class of parabolic problems with unbounded coefficients on metric star graphs subject to Kirchhoff-type conditions. The result…
math.AP2021
Bi-Kolmogorov type operators and weighted Rellich's inequalities
Davide Addona, Federica Gregorio, Abdelaziz Rhandi +1
In this paper we consider the symmetric Kolmogorov operator on , where is the density of a probability measure on $\math…
math.AP2021★ 1 cited
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…