Logarithmic Sobolev Trace Inequalities

Published 19 Jan 2011 in math.FA | (1101.3667v1)

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.

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