Hypercontractivity and the logarithmic Sobolev inequality for the completely bounded norm
نویسندگان
چکیده
منابع مشابه
Nonlinear diffusions, hypercontractivity and the optimal L-Euclidean logarithmic Sobolev inequality
The equation ut = ∆p(u 1/(p−1)) for p > 1 is a nonlinear generalization of the heat equation which is also homogeneous, of degree 1. For large time asymptotics, its links with the optimal Lp-Euclidean logarithmic Sobolev inequality have recently been investigated. Here we focuse on the existence and the uniqueness of the solutions to the Cauchy problem and on the regularization properties (hype...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2016
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4934729