Browsing Department of Mathematics (MU) by Thesis Semester "2011 Summer"
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Coefficient theorems of BiranconSkoda type
(University of MissouriColumbia, 2011)The original Brian conSkoda 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
(University of MissouriColumbia, 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 A ...