7 citations · 20 across the 28 of their papers we have counts for
32 papers
Ornstein--Uhlenbeck semigroup on rooted trees
Sahiba Arora, Marjeta Kramar Fijavž, Delio Mugnolo +1
We study Ornstein--Uhlenbeck operators on rooted metric trees equipped with a Gaussian-type measure. Using form methods, we construct Dirichlet and Neumann realisations correspondi…
Maximal inequalities and Riesz transforms for vector-valued magnetic Schrödinger operators
Davide Addona, Vincenzo Leone, Luca Lorenzi +2
We consider vector-valued magnetic Schrödinger operators with magnetic potential and electric potential…
Long-Time Stability Analysis for Stochastic Evolution Equations with Multiplicative Noise
Abdellatif Elgrou, Abdelaziz Rhandi, Jawad Salhi
In this paper, we study the long-time stability behavior of a class of linear stochastic evolution equations in a Hilbert space with multiplicative noise. Explicit sufficient condi…
Bounded -calculus for vectorial-valued operators with Gaussian kernel estimates
Davide Addona, Vincenzo Leone, Luca Lorenzi +1
We prove that the vector-valued generator of a bounded holomorphic semigroup represented by a kernel satisfying Gaussian estimates with bounded -calculus in $L^2(\mathbb…
Abstract boundary delay systems and application to network flow
András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi
This paper investigates the well-posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and alon…
Kernel estimates for a class of fractional Kolmogorov operators
Marianna Porfido, Abdelaziz Rhandi, Cristian Tacelli
Assuming a weighted Nash type inequality for the generator of a Markov semigroup, we prove a weighted Nash type inequality for its fractional power and deduce non-uniform boun…