Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results

Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results

We consider Gagliardo–Nirenberg inequalities on the sphere which interpolate between the Poincaré inequality and the Sobolev inequality, and include the logarithmic Sobolev inequality as a special case. We establish explicit stability results in the subcritical regime using spectral decomposition te...

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Veröffentlicht in:Annales de l'Institut Henri Poincaré. Analyse non linéaire 2024-09, Vol.41 (5), p.1289-1321
Hauptverfasser: Brigati, Giovanni, Dolbeault, Jean, Simonov, Nikita
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Sprache:eng
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Analysis of PDEs
Mathematics
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container_title Annales de l'Institut Henri Poincaré. Analyse non linéaire
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creator Brigati, Giovanni
Dolbeault, Jean
Simonov, Nikita
description We consider Gagliardo–Nirenberg inequalities on the sphere which interpolate between the Poincaré inequality and the Sobolev inequality, and include the logarithmic Sobolev inequality as a special case. We establish explicit stability results in the subcritical regime using spectral decomposition techniques, and entropy and carré du champ methods applied to nonlinear diffusion flows.
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source DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
subjects Analysis of PDEs
Mathematics
title Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results
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