Title of article
On a class of self-adjoint elliptic operators in L2 spaces with respect to invariant measures
Author/Authors
Giuseppe Da Prato، نويسنده , , Alessandra Lunardi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
26
From page
54
To page
79
Abstract
We consider the operator , where U is a convex real function defined in a convex open set and limx→∞U(x)=+∞. Setting , we prove that the realization of in L2(Ω,μ) with domain at Γ1}, is a self-adjoint dissipative operator. Here Γ1 is the set of points y in the boundary of Ω such that lim supx→yU(x)<+∞. Then we discuss several properties of and of the measure μ, including Poincaré and log-Sobolev inequalities in H1(Ω,μ).
Keywords
Elliptic operators , Unbounded coefficients , Invariant measures
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2007
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751100
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