Articles

Brigati G., Dolbeault J., Simonov N. (2023), Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, p. 1-33

BONFORTE M., Dolbeault J., Nazaret B., Simonov N. (2023), Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations, Discrete and Continuous Dynamical Systems. Series A, vol. 43, n°3&4, p. 1070-1089

Bonforte M., Simonov N., Stan D. (2022), The Cauchy problem for the fast p−Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour, Journal de mathématiques pures et appliquées, vol. 163, p. 83-131

Bonforte M., Simonov N. (2022), Fine properties of solutions to the Cauchy problem for a Fast Diffusion Equation with Caffarelli-Kohn-Nirenberg weights, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, p. 44

BONFORTE M., Simonov N. (2019), Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Hölder continuity, Advances in Mathematics, vol. 345, p. 1075-1161

Prépublications / Cahiers de recherche

BRIGATI G., Dolbeault J., Simonov N. (2023), Stability for the logarithmic Sobolev inequality, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 16 p.

Brigati G., Dolbeault J., Simonov N. (2023), On Gaussian interpolation inequalities, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 23 p.

BONFORTE M., Dolbeault J., Nazaret B., Simonov N. (2022), Stability in Gagliardo-Nirenberg-Sobolev inequalities : flows, regularity and the entropy method, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 161 p.