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Now showing items 21-30 of 291

#### On proper holomorphic mappings: Smooth extension to the boundary

(1988)

The subject of proper holomorphic mapping is currently a very active area of research. One of the most interesting questions is the following: if $\Omega\sb1$, $\Omega\sb2 \subseteq C\sp{n}$ are open sets with C$\sp{\infty}$ ...

#### INITIAL-VALUE METHOD FOR TWO-POINT BOUNDARY-VALUE PROBLEMS

(1982)

In this thesis, we consider two problems: (i) linear, two-point boundary-value problems with differential constraints and general boundary conditions; and (ii) nonlinear, two-point boundary-value problems with differential ...

#### EGOROV'S THEOREM FOR A DIFFRACTIVE BOUNDARY PROBLEM

(1980)

Let (TRIANGLE) be the Laplacian on R('n)(FDIAG)K with Dirichlet boundary conditions. Assume K is smoothly bounded with strictly convex boundary. By the spectral theorem define e('itSQRT.(-)(TRIANGLE)(' )and extend this ...

#### Axially symmetric harmonic maps and relaxed energy

(1991)

Here we investigate some new phenomena in harmonic maps that result by imposing a symmetry condition. A map $u:B\sp3\to S\sp2$ is called axially symmetric if, in cylindrical coordinates, $u(r,\theta,z)$ = $(\cos\theta\si ...

#### DOMAIN DECOMPOSITION FOR TWO-DIMENSIONAL ELLIPTIC OPERATORS ON VECTOR AND PARALLEL MACHINES (SUBSTRUCTURING)

(1986)

The efficient computation of the solution to self-adjoint elliptic operators is the subject of this dissertation. Discretization of this equation by finite differences or finite elements yields a large, sparse, symmetric ...

#### Harmonic diffeomorphisms between manifolds with bounded curvature

(1991)

Let compact n-dimensional Riemannian manifolds $(M,g),\ (\widehat M,\ g)$ a diffeomorphism $u\sb0: M\to \widehat M,$ and a constant $p > n$ be given. Then sufficiently small $L\sp{p}$ bounds on the curvature of $\widehat ...

#### Cone manifolds in three-dimensional topology applications to branched covers

(1990)

Cone manifolds are defined and several standard geometric techniques for Riemannian manifolds are generalized to this setting.
Smoothing techniques for approximating cone manifolds by smooth Riemannian manifolds with bounded ...

#### Hyperbolic geometry, regular representations and curves on surfaces

(1995)

Tools and techniques in hyperbolic geometry are developed and applied primarily to questions about intersections of curves on surfaces. Formulae which explicitly relate the coefficients of a matrix to the geometric data ...