Zobrazeno 1 - 10
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pro vyhledávání: '"Dolbeault Jean"'
Autor:
Dolbeault, Jean
Obtaining explicit stability estimates in classical functional inequalities like the Sobolev inequality has been an essentially open question for 30 years, after the celebrated but non-constructive result of G. Bianchi and H. Egnell in 1991. Recently
Externí odkaz:
http://arxiv.org/abs/2411.13271
Autor:
Dolbeault Jean, Turinici Gabriel
Publikováno v:
Computational and Mathematical Biophysics, Vol 9, Iss 1, Pp 14-21 (2021)
The goal of the lockdown is to mitigate and if possible prevent the spread of an epidemic. It consists in reducing social interactions. This is taken into account by the introduction of a factor of reduction of social interactions q, and by decreasin
Externí odkaz:
https://doaj.org/article/546e5da8e3614530ae7770150b114bf2
Autor:
Dolbeault Jean, Esteban Maria J.
Publikováno v:
Advanced Nonlinear Studies, Vol 20, Iss 2, Pp 277-291 (2020)
For exponents in the subcritical range, we revisit some optimal interpolation inequalities on the sphere with carré du champ methods and use the remainder terms to produce improved inequalities. The method provides us with lower estimates of the opt
Externí odkaz:
https://doaj.org/article/2b90235999ca48a3aa9e3e579e630bfa
In this paper, we present recent stability results with explicit and dimensionally sharp constants and optimal norms for the Sobolev inequality and for the Gaussian logarithmic Sobolev inequality obtained by the authors in [24]. The stability for the
Externí odkaz:
http://arxiv.org/abs/2402.08527
This contribution deals with $\mathrm L^2$ hypocoercivity methods for kinetic Fokker-Planck equations with integrable local equilibria and a \emph{factorisation} property that relates the Fokker-Planck and the transport operators. Rates of convergenc
Externí odkaz:
http://arxiv.org/abs/2304.12040
This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.
Externí odkaz:
http://arxiv.org/abs/2303.12926
This paper is devoted to Gaussian interpolation inequalities with endpoint cases corresponding to the Gaussian Poincar\'e and the logarithmic Sobolev inequalities, seen as limits in large dimensions of Gagliardo-Nirenberg-Sobolev inequalities on sphe
Externí odkaz:
http://arxiv.org/abs/2302.03926
We investigate the monotonicity of the minimal period of the periodic solutions of some quasilinear differential equations involving the $p$-Laplace operator. The monotonicity is obtained as a function of a Hamiltonian energy in two cases. We first e
Externí odkaz:
http://arxiv.org/abs/2301.01992
We consider Gagliardo-Nirenberg inequalities on the sphere which interpolate between the Poincar\'e inequality and the Sobolev inequality, and include the logarithmic Sobolev inequality as a special case. We establish explicit stability results in th
Externí odkaz:
http://arxiv.org/abs/2211.13180
Autor:
Dagher, Esther Bou, Dolbeault, Jean
This paper is devoted to the study of phase transitions associated to a large family of Gagliardo-Nirenberg-Sobolev interpolation inequalities on the sphere depending on one parameter. We characterize symmetry and symmetry breaking regimes, with a ph
Externí odkaz:
http://arxiv.org/abs/2210.16878