6 citations · 22 across the 30 of their papers we have counts for
33 papers
Generation of semigroups associated to strongly coupled elliptic operator in
Luciana Angiuli, Luca Lorenzi, Elisabetta M. Mangino
A class of vector-valued elliptic operators with unbounded coefficients, coupled up to the second-order is investigated in the Lebesgue space with $p…
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 of bounded and continuous functions, assoc…
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…
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…
Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface
Claude-Michel Brauner, Luca Lorenzi, Mingmin Zhang
In this paper we analyze the stability of the traveling wave solution for an ignition-temperature, first-order reaction model of thermo-diffusive combustion, in the case of high Le…
On coupled systems of PDEs with unbounded coefficients
Luciana Angiuli, Luca Lorenzi
We study the Cauchy problem associated to parabolic systems of the form in , the space o…