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Now showing items 1-10 of 428

#### Calibrations on semi-Riemannian manifolds

(1989)

This thesis "dualizes" Harvey and Lawson's notion of calibrated geometry on a Riemannian manifold to the semi-Riemannian category. By considering the appropriate spaces (with signature) analogous to the positive definite ...

#### ERROR ESTIMATES FOR FINITE ELEMENT METHODS APPLIED TO CONTAMINANT TRANSPORT EQUATIONS

(1983)

L('2)(L('2)) error estimates for a continuous time Galerkin approximation to the solution of a system of nonlinear parabolic equations, which model contaminant transport in groundwater, are derived using standard energy ...

#### CAUCHY PROBLEM FOR NONLINEAR HYPERBOLIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

(1983)

Consider the Cauchy problem for the system of nonlinear partial differential equations
(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI)
where x(' )(ELEM)(' )(//R) x (//R)('N), D('m)u = {D('(alpha))u(VBAR) ...

#### A problem in harmonic continuation in a disk

(1966)

This paper treats the problem of describing the behavior of a function u bounded and harmonic in a disk, when its behavior is known on a portion B of the disk that contains an open set. If /u/ is bounded by one on the ...

#### 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 ...

#### Optimal trajectories for the aeroassisted flight experiment

(1993)

The aeroassisted flight experiment (AFE) is to simulate a transfer from a geosynchronous Earth orbit (GEO) to a low Earth orbit (LEO). Specifically, the AFE spacecraft is released from the Space Shuttle and is accelerated ...

#### 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 ...

#### The large scale geometry of strongly aperiodic subshifts of finite type

(2015-04-22)

A subshift on a group G is a closed, G-invariant subset of A to the G, for some finite set A. It is said to be of finite type if it is defined by a finite collection of “forbidden patterns” and to be strongly aperiodic if ...