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20152021
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math.AP2021

Regularity results for non-linear Young equations and applications

Davide Addona, Luca Lorenzi, Gianmario Tessitore

In this paper we provide sufficient conditions which ensure that the non-linear equation , , with and being an unbounded operato…

math.AP2018

Instabilities in a combustion model with two free interfaces

Davide Addona, Claude-Michel Brauner, Luca Lorenzi +1

We study in a strip of a combustion model of flame propagation with stepwise temperature kinetics and zero-order reaction, characterized by two free interfaces, respe…

math.AP2017

Invariant measures for systems of Kolmogorov equations

Davide Addona, Luciana Angiuli, Luca Lorenzi

In this paper we provide sufficient conditions which guarantee the existence of a system of invariant measures for semigroups associated to systems of parabolic differential equati…

math.AP2017

On invariant measures associated to weakly coupled systems of Kolmogorov equations

Davide Addona, Luciana Angiuli, Luca Lorenzi

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

math.AP2015

On coupled systems of Kolmogorov equations with applications to stochastic differential games

D. Addona, L. Angiuli, L. Lorenzi +1

We prove that a family of linear bounded evolution operators can be associated, in the space of vector-valued bounded and continuous functions, to a…