Mickael Latocca

activity

20182025

collaborators

Showing math.APShow all

3 papers · 1 filter

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.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…