• Coefficient theorems of Birancon-Skoda type 

    Hosry, Aline (University of Missouri-Columbia, 2011)
    The original Brian con-Skoda theorem, proved for the ring of convergent power series over the field ℂ of complex numbers, was later generalized to arbitrary regular local rings by Lipman and Sathaye, who showed that if ...
  • Endpoint solvability results for divergence form, complex elliptic equations 

    Mourgoglou, Michail (University of Missouri--Columbia, 2011)
    We consider divergence form elliptic equations Lu := ∇ • (A∇u) = 0 in the half space ℝn+1+ := {(x,t)∈ ℝn x (0,∞)}, whose coeffi cient matrix A is complex elliptic, bounded and measurable. In addition, we suppose that ...