M. Bonforte

activity

20072026

most citedExistence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains

175 citations · 580 across the 34 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022★ 11 cited

Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities

Matteo Bonforte, Jørgen Endal

We establish boundedness estimates for solutions of generalized porous medium equations of the form $$ \partial_t u+(-\mathfrak{L})[u^m]=0\quad\quad\text{in $\mathbb{R}^N\times(0,T…

math.AP2022★ 12 cited

The Cauchy-Dirichlet Problem for Singular Nonlocal Diffusions on Bounded Domains

Matteo Bonforte, Peio Ibarrondo, Mikel Ispizua

We study the homogeneous Cauchy-Dirichlet Problem (CDP) for a nonlinear and nonlocal diffusion equation of singular type of the form $\partial_{t} u = - L u^{m}$ posed on a bou…

math.AP2022

Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations

Matteo Bonforte, Jean Dolbeault, Bruno Nazaret +1

We provide a scheme of a recent stability result for a family of Gagliardo-Nirenberg-Sobolev (GNS) inequalities, which is equivalent to an improved entropy - entropy production ine…