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math.AP2022★ 2 cited
Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results
Giovanni Brigati, Jean Dolbeault, Nikita Simonov
We consider Gagliardo-Nirenberg inequalities on the sphere which interpolate between the Poincaré inequality and the Sobolev inequality, and include the logarithmic Sobolev inequal…
math.AP2022
Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations
Matteo Bonforte, Jean Dolbeault, Bruno Nazaret +1
We provide a scheme of a recent stability result for a family of Gagliardo-Nirenberg-Sobolev (GNS) inequalities, which is equivalent to an improved entropy - entropy production ine…