Mickael Latocca

activity

20182025

collaborators

5 papers

math.FA2025

Almost Sure Uniform Convergence Of Random Hermite Series

Rafik Imekraz, Mickaël Latocca

We continue the analysis of random series associated to the multidimensional harmonic oscillator $- Δ + ∣ x ∣^{2}$ on $R^{d}$ with d \geq 2$$. More precisely we obtain a necessary…

math.AP2025

Well-Posedness of the Free Boundary Incompressible Porous Media Equation

Mickaël Latocca, Huy Q. Nguyen

We consider the free boundary incompressible porous media equation which describes the dynamics of a density transported by a Darcy flow in the field of gravity, with a free bounda…

math.FA2024

Marcinkiewicz Type Theorems for Interpolation of Operators Acting on M{ü}ntz Spaces

Mickaël Latocca, Vincent Munnier

We prove interpolation results in the spirit of the Marcinkiewicz theorem. The operators considered in this article are defined on Müntz spaces, which are not dense subspaces of $L…

math.AP2024

Strichartz Estimates for a Class of Baouendi-Grushin Operators

Nicolas Burq, Mickaël Latocca

We prove Strichartz estimates for a class of Baouendi--Grushin operators acting either on the Euclidean space or a product of the type $R^{d_{1}} \times M$ , where $(M, g)$ is…

math.AP2018

Almost Sure Existence of Global Solutions for Supercritical Semilinear Wave Equations

Mickaël Latocca

We prove that for almost every initial data $(u_{0}, u_{1}) \in H^{s} \times H^{s - 1}$ with $s > \frac{p - 3}{p - 1}$ there exists a global weak solution to the supercritical semilinear wave e…