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Browsing Faculty Research Publications (Mathematics) by Issue Date

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Browsing Faculty Research Publications (Mathematics) by Issue Date

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  • Showalter, R. E. (Mathematical Sciences Publishers, 1969)
    See article for Abstract.
  • Showalter, R. E.; Ting, T. W. (Society for Industrial and Applied Mathematics, 1970-02)
  • Showalter, R. E. (Society for Industrial and Applied Mathematics, 1970-05)
    See article for Abstract.
  • Showalter, R. E. (Society for Industrial and Applied Mathematics, 1972-08)
    An existence theory is developed for a semilinear evolution equation in Banach space which is modeled on boundary value problems for partial differential equations of Sobolev type. The operators are assumed to be measu ...
  • Showalter, R. E. (Society for Industrial and Applied Mathematics, 1975-02)
    The Cauchy problem for the evolution equation Mu’(t) + N(t,u(t)) = 0 is studied, where M and N(t,•) are, respectively, possibly degenerate and nonlinear monotone operators from a vector space to its dual. Sufficient co ...
  • Showalter, R. E. (Society for Industrial and Applied Mathematics, 1975-06)
    The L²-error estimates are established for the continuous time Faedo-Galerkin approximation to solutions of a linear parabolic initial boundary value problem that has elliptic part of order 2m. Properties of analytic s ...
  • Showalter, R. E. (Society for Industrial and Applied Mathematics, 1976-08)
    We give a nonstandard method of integrating the equation Bu" + Cu’ + Au = f in Hilbert space by reducing it to a first order system in which the differentiated term corresponds to energy. Semigroup theory gives existen ...
  • Di Benedetto, Emmanuele; Showalter, R. E. (Society for Industrial and Applied Mathematics, 1981-09)
    See article for Abstract.
  • Dray, Tevian (American Institute of Physics, 1985-05)
    We compare two independent generalizations of the usual spherical harmonics, namely monopole harmonics and spin‐weighted spherical harmonics, and make precise the sense in which they can be considered to be the same. By ...
  • Böhm, Michael; Showalter, R. E. (Society for Industrial and Applied Mathematics, 1985-05)
    See article for Abstract.
  • Böhm, Michael; Showalter, R. E. (Society for Industrial and Applied Mathematics, 1985-09)
    Diffusion in a fissured medium with absorption or partial saturation effects leads to a pseudoparabolic equation nonlinear in both the enthalpy and the permeability. The corresponding initial-boundary value problem is ...
  • Dray, Tevian (American Institute of Physics, 1986-03)
    A unified, self‐contained treatment of Wigner D functions, spin‐weighted spherical harmonics, and monopole harmonics is given, both in coordinate‐free language and for a particular choice of coordinates.
  • Manogue, Corinne A.; Copeland, Ed; Dray, Tevian (Indian Academy of Sciences, 1988-04)
    Anderson and DeWitt considered the quantization of a massless scalar field in a spacetime whose spacelike hypersurfaces change topology and concluded that the topology change gives rise to infinite particle and energy pr ...
  • Dray, Tevian; Kulkarni, Ravi; Samuel, Joseph (American Institute of Physics, 1989-06)
    In four dimensions, two metrics that are conformally related define the same Hodge dual operator on the space of two‐forms. The converse, namely, that two metrics that have the same Hodge dual are conformally related, is ...
  • Showalter, R. E.; Walkington, N. J. (Rocky Mountain Mathematics Consortium, 1991)
  • Showalter, R. E.; Walkington, N. J. (Society for Industrial and Applied Mathematics, 1991-11)
    A system of quasilinear degenerate parabolic equations arising in the modeling of diffusion in a fissured medium is studied. There is one such equation in the local cell coordinates at each point of the medium, and the ...
  • Dray, Tevian; Manogue, Corinne A.; Tucker, Robin W. (American Physical Society, 1993-09-15)
    We consider the (massless) scalar field on a two-dimensional manifold with metric that changes signature from Lorentzian to Euclidean. Requiring a conserved momentum in the spatially homogeneous case leads to a particula ...
  • Hellaby, Charles; Dray, Tevian (American Physical Society, 1994-05-15)
    The divergence theorem as usually stated cannot be applied across a change of signature unless it is reexpressed to allow for a finite source term on the signature change surface. Consequently all conservation laws must ...
  • Dray, Tevian; Hellaby, Charles (American Institute of Physics, 1994-11)
    The divergence theorem in its usual form applies only to suitably smooth vector fields. For vector fields which are merely piecewise smooth, as is natural at a boundary between regions with different physical properties, ...
  • Boersma, Stuart; Dray, Tevian (American Institute of Physics, 1995-03)
    A parametric manifold is a manifold on which all tensor fields depend on an additional parameter, such as time, together with a parametric structure, namely a given (parametric) one‐form field. Such a manifold admits nat ...

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