Now showing items 250-269 of 404

    • On the inverse doping profile problem 

      Isakov, Victor; Myers, Joseph Kenneth (American Institute of Mathematical Sciences, 2012-08)
      We obtain new analytic results for the problem of the recovery of a doped region D in semiconductor devices from the total flux of electrons/holes through a part of the boundary for various applied potentials on some ...
    • On the inverse gravimetry problem with minimal data 

      Titi, Aseel (Wichita State University, 2021-07)
      In this dissertation we considered the inverse source problem $\Delta u = \mu,$ where lim $u (x) = 0$ as |x| goes to $\infty$ and $\mu$ is zero outside a bounded domain $\Omega$. The inverse problem of gravime- try is ...
    • On the inverse gravimetry problem with minimal data 

      Titi, Aseel (Wichita State University, 2021-04-02)
      The inverse problem in gravimetry is to find a domain D inside the reference domain Ω from measurements of gravitational force outside Ω. We first considered the two-dimensional case where we found that about five parameters ...
    • On the inverse source problem with boundary data at many wave numbers 

      Isakov, Victor; Lu, Shuai (Springer, 2020-02-04)
      We review recent results on inverse source problems for the Helmholtz type equations from boundary measurements at multiple wave numbers combined with new results including uniqueness of obstacles. We consider general ...
    • On the Kolmogorov-Arnold representation theorem for continuous functions 

      Bragg, Aaron R. (Wichita State University, 2018-12)
      In 1900 at the International Congress of Mathematicians in Paris, D. Hilbert posed 23 questions that later became known as Hilbert's 23 problems. Number 13 remained unresolved for over half a century until 1956 and 1957 ...
    • On the Lévy-Steinitz Theorem 

      Meyer, Mark (Wichita State University, 2021-12)
      This thesis is a further study of Riemann's Theorem of rearrangements of series. The theorem states: (1) If $\sum a_j$ is a conditionally convergent series of real numbers and a is a real number, then there is a rearrangement ...
    • On the non-starlikeness of solutions to the starlike interior wake problem 

      Acker, Andrew (American Mathematical Society, 2005-07-18)
      We study examples of the starlike interior “wake problem” for which no starlike solution exists relative to the natural star center of the problem. These examples show that the main result of D.E. Tepper in “A mathematical ...
    • On the relationship of continuity and boundary regularity in prescribed mean curvature dirichlet problems 

      Lancaster, Kirk E.; Melin, Jaron Patric (Pacific Journal of Mathematics, 2016-03-03)
      In 1976, Leon Simon showed that if a compact subset of the boundary of a domain is smooth and has negative mean curvature, then the nonparametric least area problem with Lipschitz continuous Dirichlet boundary data has a ...
    • On the test for the homogeneity of a parameter matrix with some rows constrained by synchronized order restrictions 

      Hu, Xiaomi; Banerjee, Arijit (Elsevier, 2012-05)
      The tests on the homogeneity of the columns of the coefficient matrix in a multiple multivariate linear regression with some rows of the matrix constrained by synchronized orderings, using the test statistics obtained by ...
    • On uniqueness in the general inverse transmisson problem 

      Isakov, Victor (Springer-Verlag, 2008-06-01)
      In this paper we demonstrate uniqueness of a transparent obstacle, of coefficients of rather general boundary transmission condition, and of a potential coefficient inside obstacle from partial Dirichlet-to Neumann map or ...
    • On uniqueness in the inverse conductivity problem with local data 

      Isakov, Victor (American Institute of Mathematical Sciences, 2007-02)
      We show that the Dirichlet-to-Neumann map given on an arbitrary part of the boundary of a three-dimensional domain with zero Dirichlet (or Neumann) data on the remaining (spherical or plane) part of the boundary uniquely ...
    • On uniqueness of obstacles and boundary conditions from restricted dynamical and scattering data 

      Isakov, Victor (American Institute of Mathematical Sciences, 2008-02)
      We show uniqueness of a (time independent) domain D and of an impedance type boundary condition from either dynamical or scattering data at many frequencies. We assume that the additonal boundary (scattering) data are ...
    • Optically thin core accretion: how planets get their gas in nearly gas-free discs 

      Lee, Eve J.; Chiang, Eugene; Ferguson, Jason W. (Oxford University Press, 2018-05-11)
      Models of core accretion assume that in the radiative zones of accreting gas envelopes, radiation diffuses. But super-Earths/sub-Neptunes (1-4 R-circle plus, 2-20M(circle plus)) point to formation conditions that are ...
    • Order restricted A-basis and B-basis values 

      Huelskamp, Leo (Wichita State University, 2012-05)
      In this thesis, the concept of A-basis and B-basis as it relates to the aviation industry is studied. The rst assumption that will be made in order to help with the formulation of the A-basis and B-basis values is that ...
    • Order restricted inference for comparing the cumulative incidence of a competing risk over several populations 

      El Barmi, Hammou; Kochar, Subhash; Mukerjee, Hari (Institute of Mathematical Statistics, 2008)
      There is a substantial literature on testing for the equality of the cumulative incidence functions associated with one specific cause in a competing risks setting across several populations against specific or all ...
    • Order restricted inferences about lifetimes under censoring 

      Malla, Ganesh B. (Wichita State University, 2009-07)
      In survival analysis and in the analysis of the life tables an important biometric function of interest is the mean residual life function (MRLF) M whose value at age t is the average future life time given that a subject ...
    • Orientation and symmetries of Alexandrov spaces with applications in positive curvature 

      Harvey, John; Searle, Catherine (Springer, 2017-04)
      We develop two new tools for use in Alexandrov geometry: a theory of ramified orientable double covers and a particularly useful version of the Slice Theorem for actions of compact Lie groups. These tools are applied to ...
    • A pair of stationary stochastic processes with application to Wichita temperature data 

      Li, Qi (Wichita State University, 2010-08)
      The thesis investigates a pair of stationary stochastic process models whose domains are the set of integers and the set of real numbers respectively. The stationary processes with our specific correlation functions ...
    • Pattern storage in qubit arrays using entanglement and quantum annealing 

      Samarakoon, Bathiya (Wichita State University, 2019-05)
      Multiqubit arrays can be prepared in any state by adjusting the parameters in the Hamiltonian that governs their time evolution. In this work we show that these arrays can be used for pattern storage and recall, using ...
    • Peakedness and convex ordering for elliptically contoured random fields 

      Wang, Fangfang; Ma, Chunsheng (Elsevier, 2018-12)
      For the peakedness comparison between two Gaussian random fields about their mean functions, a necessary and sufficient condition is derived in this paper in terms of their covariance functions. interestingly, such a ...