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Now showing items 1-11 of 11

#### Mathematical problems from cryobiology

(University of Missouri--Columbia, 2009)

Cryobiology is the study of life and
death at low temperatures and provides a fascinating setting for applied mathematics.
The interdisciplinary nature of cryobiology mirrors the diversity of ...

#### Box approximation and related techniques in spectral theory

(University of Missouri--Columbia, 2008)

This dissertation is concerned with various aspects of the spectral theory of differential and pseudodifferential operators. It consists of two chapters. The first chapter presents a study of a family of spectral shift ...

#### Generating sequences and semigroups of valuations on 2 dimensional normal local rings

(University of Missouri--Columbia, 2018)

In this thesis we develop a method for constructing generating sequences for valuations dominating the ring of a two dimensional quotient singularity. Suppose that K is an algebraically closed field of characteristic zero, ...

#### Frames and subspaces

(University of Missouri--Columbia, 2018)

#### The poisson problem on Lipschitz domains

(University of Missouri--Columbia, 2005)

of our main results include new proofs and various

**extensions**of: Hardy space estimates for Green potentials in convex domains due to V. Adolfsson, B.Dahlberg, S. Fromm, D. Jerison, G.Verchota and T.Wolff and the Lp - Lq estimates for the gradients...#### Generalized littlewood-richardson coefficients for branching rules of GL(n) and extremal weight crystals

(University of Missouri--Columbia, 2018)

This thesis is devoted to the combinatorial and geometric study of certain multiplicities, which we call generalized Littlewood-Richardson coefficients. These are sums of products of single Littlewood-Richardson coefficients, ...

#### Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains

(University of Missouri--Columbia, 2006)

This thesis derives the sharp estimates for the transmission boundary value problems (TBVP) for Dirac operators in Lipschitz domains in the three dimensional setting. Most of the transmission problems considered in the ...

#### Potential theory and harmonic analysis methods for quasilinear and Hessian equations

(University of Missouri--Columbia, 2006)

The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane-Emden type, including the following two model problems:-[delta]pu = uq + [

**mu**], Fk[-u] = uq + [**mu**], u [greater...#### Trace formulae in finite von Neumann algebras

(University of Missouri--Columbia, 2007)

The dissertation is devoted to some aspects of spectral perturbation theory in the context of finite Von Neumann algebras. The central results are analogs of the Birman-Schwinger principle and the Birman-Krein formula for ...

#### Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces

(University of Missouri--Columbia, 2006)

We adapt the method of boundary layer potentials to the Poisson problem for the heat operator [partial differential]t [delta] in a bounded Lipschitz cylinder, with Dirichlet and Neumann boundary conditions. When the lateral ...

#### Boundary value problems for the Stokes system in arbitrary Lipschitz domains

(University of Missouri--Columbia, 2008)

The goal of this work is to treat the main boundary value problems for the Stokes system, i.e., (i) the Dirichlet problem with Lp-data and nontangential maximal function estimates, (ii) the Neumann problem with Lp-data and ...