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Nikita Simonov
Nikita Simonov
Sorbonne Université
Verified email at sorbonne-universite.fr - Homepage
Title
Cited by
Cited by
Year
Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method
M Bonforte, J Dolbeault, B Nazaret, N Simonov
342022
Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Hölder continuity
M Bonforte, N Simonov
Advances in Mathematics 345, 1075-1161, 2019
232019
Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results
G Brigati, J Dolbeault, N Simonov
Annales de l'Institut Henri Poincaré C, 2023
132023
Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli–Kohn–Nirenberg weights
M Bonforte, N Simonov
Annales de l'Institut Henri Poincaré C 40 (1), 1-59, 2022
122022
Fast diffusion equations with Caffarelli-Kohn-Nirenberg weights: regularity and asymptotics
N Simonov
Universidad Autónoma de Madrid, 2020
92020
The Cauchy problem for the fast p-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour
M Bonforte, N Simonov, D Stan
Journal de Mathématiques Pures et Appliquées 163, 83-131, 2022
82022
Stability in Gagliardo-Nirenberg inequalities-Supplementary material
M Bonforte, J Dolbeault, B Nazaret, N Simonov
arXiv preprint arXiv:2007.03419, 2020
72020
Stability in Gagliardo-Nirenberg-Sobolev inequalities
M Bonforte, J Dolbeault, B Nazaret, N Simonov
Preprint hal-02887010 and, 2020
52020
Stability in Gagliardo–Nirenberg–Sobolev inequalities: flows, regularity and the entropy method. Preprint (2021)
M Bonforte, J Dolbeault, B Nazaret, N Simonov
arXiv preprint arXiv:2007.03674, 0
5
Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation
M Bonforte, J Dolbeault, B Nazaret, N Simonov
42020
Stability in Gagliardo-Nirenberg inequalities
M Bonforte, J Dolbeault, B Nazaret, N Simonov
arXiv preprint arXiv:2007.03674, 2020
42020
Stability for the logarithmic Sobolev inequality
G Brigati, J Dolbeault, N Simonov
arXiv preprint arXiv:2303.12926, 2023
32023
On Gaussian interpolation inequalities
G Brigati, J Dolbeault, N Simonov
arXiv preprint arXiv:2302.03926, 2023
22023
On Gaussian interpolation inequalities
G Brigati, J Dolbeault, N Simonov
Comptes Rendus. Mathématique 362 (G1), 21-44, 2024
12024
Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations
M Bonforte, J Dolbeault, B Nazaret, N Simonov
arXiv preprint arXiv:2202.09693, 2022
12022
Corrigendum to “Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results”
G Brigati, J Dolbeault, N Simonov
Annales de l'Institut Henri Poincaré C, 2024
2024
Functional inequalities and applications to doubly nonlinear diffusion equations
I Chlebicka, N Simonov
Advances in Calculus of Variations 17 (2), 467-485, 2024
2024
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Articles 1–17