Giuseppe Negro

activity

20212026

most citedExponentials rarely maximize Fourier extension inequalities for cones

1 citations · 4 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2026

Gaussians Do Not Always Maximize Mixed-Norm Strichartz Inequalities for the Schrödinger Equation

Felipe Gonçalves, Giuseppe Negro, Diogo Oliveira e Silva

We investigate the maximization problem for the family of mixed-norm Strichartz inequalities for the Schrödinger equation, $\|e^{-itΔ/2}f\|_{L_t^qL_{\boldsymbol{x}}^r(\mathbb{R}^{1…

math.CA2024

On sharp Fourier extension from spheres in arbitrary dimensions

Emanuel Carneiro, Giuseppe Negro, Diogo Oliveira e Silva

We prove a new family of sharp $L^{2} (S^{d - 1}) \to L^{4} (R^{d})$ Fourier extension inequalities from the unit sphere $S^{d - 1} \subset R^{d}$ , valid in arbitra…

math.AP2023

Global solutions with asymptotic self-similar behaviour for the cubic wave equation

Thomas Duyckaerts, Giuseppe Negro

We construct a two-parameter family of explicit solutions to the cubic wave equation on $R^{1 + 3}$ . Depending on the value of the parameters, these solutions either scatter…

math.CA2023★ 1 cited

Exponentials rarely maximize Fourier extension inequalities for cones

Giuseppe Negro, Diogo Oliveira e Silva, Betsy Stovall +1

We prove the existence of maximizers and the precompactness of $L^{p}$ -normalized maximizing sequences modulo symmetries for all valid scale-invariant Fourier extension inequalities…

math.CA2022★ 1 cited

When does $e^{- ∣ τ ∣}$ maximize Fourier extension for a conic section?

Giuseppe Negro, Diogo Oliveira e Silva, Christoph Thiele

In the past decade, much effort has gone into understanding maximizers for Fourier restriction and extension inequalities. Nearly all of the cases in which maximizers for inequalit…

math.CA2022★ 1 cited

A sharpened energy-Strichartz inequality for the wave equation

Giuseppe Negro

We consider the sharp Strichartz estimate for the wave equation on $R^{1 + 5}$ in the energy space, due to Bez and Rogers. We show that it can be refined by adding a term pro…

math.CA2021★ 1 cited

Stability of sharp Fourier restriction to spheres

Emanuel Carneiro, Giuseppe Negro, Diogo Oliveira e Silva

In dimensions $d \in {3, 4, 5, 6, 7}$ , we prove that the constant functions on the unit sphere $S^{d - 1} \subset R^{d}$ maximize the weighted adjoint Fourier restrictio…

math.CA2021

Intermittent symmetry breaking and stability of the sharp Agmon--Hörmander estimate on the sphere

Giuseppe Negro, Diogo Oliveira e Silva

We compute the optimal constant and characterise the maximisers at all spatial scales for the Agmon--Hörmander $L^{2}$ -Fourier adjoint restriction estimate on the sphere. The maximis…