Logarithmic Sobolev Trace Inequalities
Functional Analysis
2011-01-20 v1
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}(\Omega,\gamma) for sufficiently regular domain. We exhibit examples to show the sharpness of the results. Applications to PDE are also considered.
Cite
@article{arxiv.1101.3667,
title = {Logarithmic Sobolev Trace Inequalities},
author = {F. Feo and M. R. Posteraro},
journal= {arXiv preprint arXiv:1101.3667},
year = {2011}
}