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