L. Lorenzi

activity

20082022

most citedCarleman estimate for the Navier-Stokes equations and applications

6 citations · 22 across the 30 of their papers we have counts for

collaborators

Showing 2021 · math.APShow all

3 papers · 2 filters

math.AP2021

On weakly coupled systems of partial differential equations with different diffusion terms

Davide Addona, Luca Lorenzi

We prove maximal Schauder regularity for solutions to elliptic systems and Cauchy problems, in the space $C_{b} (R^{d}; R^{m})$ of bounded and continuous functions, assoc…

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 $d y (t) = A y (t) d t + σ (y (t)) d x (t)$ , $t \in (0, T]$ , with $y (0) = ψ$ and $A$ being an unbounded operato…

math.AP2021★ 6 cited

Carleman estimate for the Navier-Stokes equations and applications

Oleg Y. Imanuvilov, Luca Lorenzi, M. Yamamoto

For linearized Navier-Stokes equations, we first derive a Carleman estimate with a regular weight function. Then we apply it to establish conditional stability for the lateral Cauc…