Abstract
We prove a logarithmic Sobolev trace inequality and we study the trace operator in the weighted Sobolev space $W^{1,p} (\Omega , \gamma)$ for sufficiently regular domain, where $\gamma$ is the Gauss measure. Applications to PDE are also considered.
Citation
Filomena Feo. Maria Rosaria Posteraro. "Logarithmic Sobolev trace inequalities." Asian J. Math. 17 (3) 569 - 582, September 2013.
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