Nicolò De Ponti

collaborators

3 papers

hep-th2024

Can you hear the Planck mass?

G. Bruno De Luca, Nicolò De Ponti, Andrea Mondino +1

For the Laplacian of an $n$ -Riemannian manifold $X$ , the Weyl law states that the $k$ -th eigenvalue is asymptotically proportional to $(k / V)^{2/ n}$ , where $V$ is the volume of $X$ .…

math.FA2024

Properties of Lipschitz smoothing heat semigroups

Nicolò De Ponti, Giorgio Stefani

We prove several functional and geometric inequalities only assuming the linearity and a quantitative $L^{\infty}$ -to-Lipschitz smoothing of the heat semigroup in metric-mea…

math.AP2024

Unique continuation at infinity: Carleman estimates on general warped cylinders

Nicolò De Ponti, Stefano Pigola, Giona Veronelli

We obtain a vanishing result for solutions of the inequality $∣Δ u ∣ \leq q_{1} ∣ u ∣ + q_{2} ∣\nabla u ∣$ that decay to zero along a very general warped cylindrical end of a Riemannian manifold.…