Weighted Nash inequalities, Rev. Mat. Iberoam, vol.28, pp.879-906, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00474543
Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré, J. Funct. Anal, vol.254, pp.727-759, 2008. ,
Analysis and geometry of Markov diffusion operators, vol.348, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00929960
Bakry-´ Emery meet Villani, J. Funct. Anal, vol.273, pp.2275-2291, 2017. ,
Weak Poincaré and Nash-type inequalities via density of states estimates, 2018. ,
, Hypocoercivity without confinement. hal-01575501, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01575501
A variational proof of Nash's inequality, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl, 2019. ,
First order interpolation inequalities with weights, Compositio Math, vol.53, pp.259-275, 1984. ,
The kinetic Fokker-Planck equation with weak confinement force. hal-01697058, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01697058
Sharp constant in Nash's inequality, Internat. Math. Res. Notices, pp.213-215, 1993. ,
Hypocoercivity for kinetic equations with linear relaxation terms, Comptes Rendus Mathématique, vol.347, pp.511-516, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00331947
, Hypocoercivity for linear kinetic equations conserving mass, Trans. Amer. Math. Soc, vol.367, pp.3807-3828, 2015.
Weighted interpolation inequalities: a perturbation approach, Math. Ann, vol.369, pp.1237-1270, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01207009
, Partial differential equations, vol.19, 2010.
, Théorie analytique de la chaleur, 2009.
Hypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation, Asymptot. Anal, vol.46, pp.349-359, 2006. ,
Short and long time behavior of the Fokker-Planck equation in a confining potential and applications, J. Funct. Anal, vol.244, pp.95-118, 2007. ,
Subexponential decay in kinetic Fokker-Planck equation: Weak hypocoercivity, Bernoulli, vol.25, pp.174-188, 2019. ,
Il'in, Some integral inequalities and their applications in the theory of differentiable functions of several variables, Mat. Sb, pp.331-380, 1961. ,
The Fokker-Planck equation with subcritical confinement force. hal-01241680, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01241680
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus, Nonlinearity, vol.19, p.969, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00087173
Continuity of solutions of parabolic and elliptic equations, Amer. J. Math, vol.80, pp.931-954, 1958. ,
Bounds for the discrete part of the spectrum of a semi-bounded Schrödinger operator, Math. Scand, vol.8, pp.143-153, 1960. ,
Weak Poincaré inequalities and L 2-convergence rates of Markov semigroups, J. Funct. Anal, vol.185, pp.564-603, 2001. ,
The mathematical theories of diffusion: nonlinear and fractional diffusion, Nonlocal and nonlinear diffusions and interactions: new methods and directions, vol.2186, pp.205-278, 2017. ,
, Hypocoercivity, Mem. Amer. Math. Soc, vol.202, p.141, 2009.
Functional inequalities for empty essential spectrum, J. Funct. Anal, vol.170, pp.219-245, 2000. ,
, Functional inequalities and spectrum estimates: the infinite measure case, J. Funct. Anal, vol.194, pp.288-310, 2002.
Intrinsic ultracontractivity on Riemannian manifolds with infinite volume measures, Sci. China Math, vol.53, pp.895-904, 2010. ,
Bouin: bouin@ceremade.dauphine.fr E-mail address, J. Dolbeault: dolbeaul@ceremade.dauphine.fr E-mail address, C. Schmeiser: Christian.Schmeiser@univie.ac.at ,