Search Results - "Allen, Paul T."

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  1. 1

    Boundary Value Problems and Finite Differences by Allen, Paul T.

    Published in The College mathematics journal (01-01-2016)
    “…The solvability of boundary value problems differs greatly from that of initial value problems and can be somewhat difficult to make sense of in the context of…”
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    Journal Article
  2. 2

    Asymptotic Gluing of Shear-Free Hyperboloidal Initial Data Sets by Allen, Paul T., Isenberg, James, Lee, John M., Stavrov Allen, Iva

    Published in Annales Henri Poincaré (01-03-2021)
    “…We present a procedure for asymptotic gluing of hyperboloidal initial data sets for the Einstein field equations that preserves the shear-free condition. Our…”
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    Journal Article
  3. 3

    Smoothly Compactifiable Shear-Free Hyperboloidal Data is Dense in the Physical Topology by Allen, Paul T., Allen, Iva Stavrov

    Published in Annales Henri Poincaré (01-08-2017)
    “…We show that any polyhomogeneous asymptotically hyperbolic constant-mean-curvature solution to the vacuum Einstein constraint equations can be approximated,…”
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    Journal Article
  4. 4

    Local Well-Posedness for Membranes in the Light Cone Gauge by Allen, Paul T., Andersson, Lars, Restuccia, Alvaro

    “…In this paper we consider the classical initial value problem for the bosonic membrane in light cone gauge. A Hamiltonian reduction gives a system with one…”
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    Journal Article
  5. 5

    Sobolev-class asymptotically hyperbolic manifolds and the Yamabe problem by Allen, Paul T, Lee, John M, Maxwell, David

    Published 26-06-2022
    “…We consider asymptotically hyperbolic manifolds whose metrics have Sobolev-class regularity, and introduce several technical tools for studying PDEs on such…”
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    Journal Article
  6. 6

    Asymptotic gluing of shear-free hyperboloidal initial data sets by Allen, Paul T, Isenberg, James, Lee, John M, Allen, Iva Stavrov

    Published 05-12-2019
    “…We present a procedure for asymptotic gluing of hyperboloidal initial data sets that preserves the shear-free condition. Our construction is modeled on a…”
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    Journal Article
  7. 7

    Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topology by Allen, Paul T, Allen, Iva Stavrov

    Published 18-06-2015
    “…We show that any polyhomogeneous asymptotically hyperbolic constant-mean-curvature solution to the vacuum Einstein constraint equations can be approximated,…”
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    Journal Article
  8. 8

    Timelike minimal submanifolds in Robertson -Walker spacetimes by Allen, Paul T

    Published 01-01-2007
    “…We study the timelike minimal surface problem in spatially homogeneous and isotropic expanding spacetimes. Such "surfaces", which are in fact immersed…”
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    Dissertation
  9. 9

    Timelike minimal submanifolds in Robertson-Walker spacetimes by Allen, Paul T

    “…We study the timelike minimal surface problem in spatially homogeneous and isotropic expanding spacetimes. Such "surfaces", which are in fact immersed…”
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    Dissertation
  10. 10

    The Dirichlet problem for curve shortening flow by Allen, Paul T, Layne, Adam, Tsukahara, Katharine

    Published 16-08-2012
    “…We investigate the evolution of open curves with fixed endpoints under the curve shortening flow, which evolves curves in proportion to their curvature. Using…”
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    Journal Article
  11. 11

    The shear-free condition and constant-mean-curvature hyperboloidal initial data by Allen, Paul T, Isenberg, James, Lee, John M, Allen, Iva Stavrov

    Published 29-06-2015
    “…We consider the Einstein-Maxwell-fluid constraint equations, and make use of the conformal method to construct and parametrize constant-mean-curvature…”
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    Journal Article
  12. 12

    Weakly asymptotically hyperbolic manifolds by Allen, Paul T, Isenberg, James, Lee, John M, Allen, Iva Stavrov

    Published 10-06-2015
    “…We introduce a class of "weakly asymptotically hyperbolic" geometries whose sectional curvatures tend to $-1$ and are $C^0$, but are not necessarily $C^1$,…”
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    Journal Article
  13. 13

    Local well-posedness for membranes in the light cone gauge by Allen, Paul T, Andersson, Lars, Restuccia, Alvaro

    Published 08-10-2009
    “…Commun.Math.Phys.301:383-410,2011 In this paper we consider the classical initial value problem for the bosonic membrane in light cone gauge. A Hamiltonian…”
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    Journal Article
  14. 14

    Asymptotics of linearized cosmological perturbations by Allen, Paul T, Rendall, Alan D

    Published 14-06-2009
    “…In cosmology an important role is played by homogeneous and isotropic solutions of the Einstein-Euler equations and linearized perturbations of these. This…”
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    Journal Article
  15. 15

    Near-Constant Mean Curvature Solutions of the Einstein Constraint Equations with Non-Negative Yamabe Metrics by Isenberg, James, Clausen, Adam, Allen, Paul T

    Published 15-02-2008
    “…Class.Quant.Grav.25:075009,2008 We show that sets of conformal data on closed manifolds with the metric in the positive or zero Yamabe class, and with the…”
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    Journal Article
  16. 16

    Personality types of flight crew members in a hospital-based helicopter program by Gabram, S G, Hodges, J, Allen, P T, Allen, L W, Schwartz, R J, Jacobs, L M

    Published in Air medical journal (01-01-1994)
    “…To determine the personality preferences of flight crew members in a hospital-based helicopter emergency medical service (HEMS) using the Myers-Briggs Type…”
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    Journal Article
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