September  2009, 2(3): 525-545. doi: 10.3934/dcdss.2009.2.525

Hypercontractivity, Hopf-Lax type formulas, Ornstein-Uhlenbeck operators (II)

1. 

Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Sapienza Università di Roma, via A. Scarpa 16, 00161 Roma, Italy

2. 

Dipartimento Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma "La Sapienza", Via A. Scarpa, 16, 00161 Roma

Received  October 2008 Revised  March 2009 Published  June 2009

In this paper we study Hopf-Lax formulas, hypercontractivity, ultracontractivity, logarithmic Sobolev inequalities for a class of first order Hamilton-Jacobi equations.
Citation: Antonio Avantaggiati, Paola Loreti. Hypercontractivity, Hopf-Lax type formulas, Ornstein-Uhlenbeck operators (II). Discrete & Continuous Dynamical Systems - S, 2009, 2 (3) : 525-545. doi: 10.3934/dcdss.2009.2.525
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