Browsing Mathematics electronic theses and dissertations (MU) by Thesis Semester "2011 Summer"
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Coefficient theorems of Birancon-Skoda type
(University of Missouri--Columbia, 2011)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The original Briancon-Skoda theorem, proved for the ring of convergent power series over the field $mathbb{C}$ of complex numbers, was later generalized ... -
Endpoint solvability results for divergence form, complex elliptic equations
(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 A ...