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authFullName_s : Nikita Simonov
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Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation

Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov
2020
Preprints, Working Papers, ... hal-02887013v1
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Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results

Giovanni Brigati , Jean Dolbeault , Nikita Simonov
2022
Preprints, Working Papers, ... hal-03868496v1
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Stability for the logarithmic Sobolev inequality

Giovanni Brigati , Jean Dolbeault , Nikita Simonov
2023
Preprints, Working Papers, ... hal-04042046v1
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Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations

Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov
Discrete and Continuous Dynamical Systems - Series A, In press, 43 (3&4), pp.1070-1089. ⟨10.3934/dcds.2022093⟩
Journal articles hal-03581542v2

Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Hölder continuity

Matteo Bonforte , Nikita Simonov
Advances in Mathematics, 2019, 345, pp.1075-1161. ⟨10.1016/j.aim.2019.01.018⟩
Journal articles hal-03159914v1
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The Cauchy problem for the fast p−Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour

Matteo Bonforte , Nikita Simonov , Diana Stan
2021
Preprints, Working Papers, ... hal-03160022v1

Fine properties of solutions to the Cauchy problem for a Fast Diffusion Equation with Caffarelli-Kohn-Nirenberg weights

Matteo Bonforte , Nikita Simonov
2021
Preprints, Working Papers, ... hal-03159917v1
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Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method

Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov
In press, Memoirs of the American Mathematical Society
Books hal-02887010v3
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On Gaussian interpolation inequalities

Giovanni Brigati , Jean Dolbeault , Nikita Simonov
2023
Preprints, Working Papers, ... hal-03978122v2