Logarithmic Sobolev Trace Inequalities

Abstract

We prove a logarithmic Sobolev trace inequality in a gaussian space and we study the trace operator in the weighted Sobolev space W^{1,p}(Ω,γ) for sufficiently regular domain. We exhibit examples to show the sharpness of the results. Applications to PDE are also considered.

References in corpus (1)

• Isoperimetry and symmetrization for logarithmic Sobolev inequalities