Improved interpolation inequalities, relative entropy and fast diffusion equations
نویسندگان
چکیده
منابع مشابه
Improved interpolation inequalities, relative entropy and fast diffusion equations
We consider a family of Gagliardo-Nirenberg-Sobolev interpolation inequalities which interpolate between Sobolev’s inequality and the logarithmic Sobolev inequality, with optimal constants. The difference of the two terms in the interpolation inequalities (written with optimal constant) measures a distance to the manifold of the optimal functions. We give an explicit estimate of the remainder t...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2013
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2012.12.004