LOGARITHMIC SOBOLEV TRACE INEQUALITIES

作者：Feo Filomena^*; Posteraro Maria Rosaria

来源：Asian Journal of Mathematics, 2013, 17(3): 569-582.

• Trace inequality
• Gauss measure
• embedding theorems

We prove a logarithmic Sobolev trace inequality and we study the trace operator in the weighted Sobolev space W-1,W-P(Omega, gamma) for sufficiently regular domain, where gamma is the Gauss measure. Applications to PDE are also considered.

• 出版日期2013-9