On the variational interpretation of local logarithmic sobolev inequalities

HIGHLIGHTS

• What: The authors show a series of inequalities inspired by a toy model proposed.
• Who: Gauthier Clerc and collaborators from the (UNIVERSITY) have published the Article: On the variational interpretation of local logarithmic Sobolev inequalities, in the Journal: (JOURNAL)

SUMMARY

The heat equation, ∂t u=∆u, starting from f is denoted (t, x) 7→ Pt f (x), where Z Pt f (x)=f (y)pxt (y)dy, x ∈ N, and pxt (y) is the density of the heat kernel with respect to the Riemannian measure dy. ∆=∇·∇ is the Laplace-Beltrami operator . . .

 



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