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. Applications to PDE are also considered.
Logarithmic Sobolev trace inequalities
FEO, Filomena;
2013-01-01
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. Applications to PDE are also considered.File in questo prodotto:
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