• The Evans function, the Weyl-Titchmarsh function, and the Birman-Schwinger operators 

    Sukhtayev, Alim (University of Missouri--Columbia, 2012)
    We focus on the spectral stability of travelling wave solutions of partial differential equations. First, we use the Gohberg-Rouche Theorem to prove equality of the algebraic multiplicity of an isolated eigenvalue of an ...
  • Generalized local Tb theorem and applications 

    Grau de la Herran, Ana (University of Missouri--Columbia, 2012)
    The Tb theorem, like its predecessor, the T1 Theorem, is an L2 boundedness criterion, originally established by McIntosh and Meyer, and by David, Journé and Semmes in the context of singular integrals, but later extended ...
  • On projective morphisms of varieties with nef anticanonical divisor 

    Ao, Lunhao (University of Missouri--Columbia, 2012)
    We shall study and discuss some important properties of the projective varieties with nef anticanonical bundles and nef tangent bundles. And we shall review some background and history about the subject. Then we shall use ...
  • Topics in Littlewood-Paley theory and BMO 

    Thompson, Brian (University of Missouri--Columbia, 2012)
    In this thesis we discuss some important results in Littlewood-Paley theory and the space of Bounded-Mean Oscillation functions, henceforth called BMO. Littlewood-Paley Theory has its roots in the Littlewood-Paley Theorem, ...