141 citations · 781 across the 77 of their papers we have counts for
4 papers · 2 filters
Phi-entropies for Fokker-Planck and kinetic Fokker-Planck equations
Jean Dolbeault, Xingyu Li
This paper is devoted to -entropies applied to Fokker-Planck and kinetic Fokker-Planck equations in the whole space, with confinement. The so-called -entropies are Lyapunov f…
Symmetry and symmetry breaking: rigidity and flows in elliptic PDEs
Jean Dolbeault, Maria J. Esteban, Michael Loss +1
The issue of symmetry and symmetry breaking is fundamental in all areas of science. Symmetry is often assimilated to order and beauty while symmetry breaking is the source of many…
Hypocoercivity without confinement
Emeric Bouin, Jean Dolbeault, Stéphane Mischler +2
In this paper, hypocoercivity methods are applied to linear kinetic equations with mass conservation and without confinement, in order to prove that the solutions have an algebraic…
Interpolation inequalities and spectral estimates for magnetic operators
Jean Dolbeault, Maria J. Esteban, Ari Laptev +1
We prove magnetic interpolation inequalities and Keller-Lieb-Thir-ring estimates for the principal eigenvalue of magnetic Schr{ö}dinger operators. We establish explicit upper and l…