We prove a logarithmic Sobolev trace inequality and we study the trace operator in the weighted Sobolev space W1,p(Ω,γ) for sufficiently regular domain, where γ is the Gauss measure. Applications to PDE are also considered. © 2013 International Press.
CITATION STYLE
Feo, F., & Posteraro, M. R. (2013). Logarithmic sobolev trace inequalities. Asian Journal of Mathematics, 17(3), 569–582. https://doi.org/10.4310/AJM.2013.v17.n3.a8
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