29 citations · 98 across the 37 of their papers we have counts for
4 papers · 1 filter
Hypercontractivity of a semi-Lagrangian scheme for Hamilton-Jacobi equations
Fabio Camilli, Paola Loreti, Cristina Pocci
The equivalence between logarithmic Sobolev inequalities and hypercontractivity of solutions of Hamilton-Jacobi equations has been proved in [5]. We consider a semi-Lagrangian appr…
Control problems for weakly coupled systems with memory
Paola Loreti, Daniela Sforza
We investigate control problems for wave-Petrovsky coupled systems in the presence of memory terms. By writing the solutions as Fourier series, we are able to prove Ingham type est…
Observability of rectangular membranes and plates on small sets
Vilmos Komornik, Paola Loreti
Since the works of Haraux and Jaffard we know that rectangular plates may be observed by subregions not satisfying the geometrical control condition. We improve these results by ob…
Multi-Time Systems of Conservation Laws
Aldo Bazan, Paola Loreti, Wladimir Neves
Motivated by the work of P.L. Lions and J-C. Rochet [12], concerning multi-time Hamilton-Jacobi equations, we introduce the theory of multi-time systems of conservation laws. We sh…