• An extension of Green's theorem with application 

    Judd, Kristin N. (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 

    Vasko, Maria (University of Missouri--Columbia, 2013)
    The theory of semigroupoids and groupoids makes the transition between arbitrary sets and groups. The usefulness of developing theory stems from various applications where a group structure is lacking, yet there exists ...
  • A priori estimates for solutions of elliptic partial differential equations on surfaces 

    Steenblock, Heidi, 1984- (University of Missouri--Columbia, 2009)
    Let S be an (n-1)-dimensional bounded surface of class C² in R[real number] [superscript n] and let [set theory][subscript s] be the Laplace-Beltrami operator on S. In this thesis, under suitable geometric assumptions, we ...