Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : In this paper, we find optimal constants of a special class of Gagliardo-Nirenberg type inequalities which turns out to interpolate between the classical Sobolev inequality and the Gross logarithmic Sobolev inequality. These inequalities provide an optimal decay rate (measured by entropy methods) of the intermediate asymptotics of solutions to nonlinear diffusion equations.
 
 
BEST CONSTANTS FOR GAGLIARDO-NIRENBERG INEQUALITIES AND APPLICATIONS TO NONLINEAR DIFFUSIONS (Nouvelle version du cahier MD- 9905)
DEL PINO Manuel, DOLBEAULT Jean
2001-19
09-07-2001
 
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