Browsing Department of Mathematics (MU) by Thesis Advisor "Mitrea, Dorina, 1965-"
Now showing items 1-5 of 5
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An extension of Green's theorem with application
(University of Missouri--Columbia, 2008)The main result of this thesis is a generalization of Green's Theorem. Green' s Theorem states: If Omega is an open subset of R[logical and]2 containing a compact subset K with smooth boundary. Let P and Q be two real ... -
Groupoids and semigroupoids
(University of Missouri--Columbia, 2013)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The theory of semigroupoids and groupoids makes the transition between arbitrary sets and groups. The usefulness of developing theory stems from various ... -
Integration by parts formulas for higher order operators and applications to boundary value problems
(University of Missouri--Columbia, 2016)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Green formulas for differential operators are important tools in the study of Partial Differential Equations. The first such formula, published in ... -
A priori estimates for solutions of elliptic partial differential equations on surfaces
(University of Missouri--Columbia, 2009)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Let S be an ([lowercase nu ? 1)-dimensional bounded surface of class C[superscript 2] in [double-struck R][superscript n] and let [uppercase delta]S ... -
Radiation conditions and integral representations for Clifford algebra-valued null solutions of the iterated perturbed Dirac operator
(University of Missouri--Columbia, 2017)In 1912 Arnold Sommerfeld introduced a special decay condition at infinity to address uniqueness issues for certain boundary value problems involving the Helmholtz operator in an exterior domain. Examples of such boundary ...