• 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