Logarithmic Sobolev Trace Inequalities

Details Logarithmic Sobolev Trace Inequalities Logarithmic Sobolev Trace Inequalities

2011-01-19

arxiv.org/abs/1101.3667v1

Mathematics

Functional Analysis

Scientific paper

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.

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