2 citations · 2 across the 5 of their papers we have counts for
5 papers
Nonlinear kinetic Fokker-Planck equations as gradient flows of the free energy
Giovanni Brigati, Guillaume Carlier, Jean Dolbeault +1
We consider nonhomogeneous kinetic equations that involve a free transport operator and a diffusion of porous medium type acting on velocities. The main novelty is a gradient flow…
Logarithmic Sobolev inequalities: a review on stability and instability results; logarithmic uncertainty principle
Giovanni Brigati, Jean Dolbeault, Nikita Simonov
In this paper, we review recent results on stability and instability in logarithmic Sobolev inequalities, with a particular emphasis on strong norms. We consider several versions o…
Stability for the logarithmic Sobolev inequality
Giovanni Brigati, Jean Dolbeault, Nikita Simonov
This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.
On Gaussian interpolation inequalities
Giovanni Brigati, Jean Dolbeault, Nikita Simonov
This paper is devoted to Gaussian interpolation inequalities with endpoint cases corresponding to the Gaussian Poincaré and the logarithmic Sobolev inequalities, seen as limits in…
Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results
Giovanni Brigati, Jean Dolbeault, Nikita Simonov
We consider Gagliardo-Nirenberg inequalities on the sphere which interpolate between the Poincaré inequality and the Sobolev inequality, and include the logarithmic Sobolev inequal…