doi: 10.1685/journal.caim.389

On a class of Hamilton-Jacobi equations and related logarithmic Sobolev inequality

Antonio Avantaggiati, Paola Loreti, Cristina Pocci


In this paper we establish a new logarithmic Sobolev inequality. The proof is based
on the analysis of the Cauchy problem for a first order Hamilton-Jacobi equation and
qualitative properties of solutions.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909