Mathematics, Statistics, and Physics
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Effect of support pretreatment temperature on the performance of an iron Fischer-Tropsch catalyst supported on silica-stabilized alumina
(MDPI, 2018-02-12)The effect of support material pretreatment temperature, prior to adding the active phase and promoters, on Fischer-Tropsch activity and selectivity was explored. Four iron catalysts were prepared on silica-stabilized ... -
Increasing stability in the inverse source problem with attenuation and many frequencies
(SIAM Publ., 2018)We study the interior inverse source problem for the Helmholtz equation from boundary Cauchy data of multiple wave numbers. The main goal of this paper is to understand the dependence of increasing stability on the ... -
Isotropic random fields with infinitely divisible marginal distributions
(Taylor & Francis, 2018)A simple but efficient approach is proposed in this paper to construct the isotropic random field in (d 2), whose univariate marginal distributions may be taken as any infinitely divisible distribution with finite variance. ... -
A generalization of ''Existence and behavior of the radial limits of a bounded capillary surface at a corner''
(Pacific Journal of Mathematics, 2018-02)The principal existence theorem (i.e., Theorem 1) of "Existence and behavior of the radial limits of a bounded capillary surface at a corner" (Pacific J. Math. 176:1 (1996), 165-194) is extended to the case of a contact ... -
A capillary surface with no radial limits
(Pacific Journal of Mathematics, 2018)In 1996, Kirk Lancaster and David Siegel investigated the existence and behavior of radial limits at a corner of the boundary of the domain of solutions of capillary and other prescribed mean curvature problems with contact ... -
A capillary surface with no radial limits
(Wichita State University, 2017-05)We begin by discussing the circumstances of capillary surfaces in regions with a corner, both concave and convex. These circumstances led to the (since proved) Concus-Finn Conjecture, which gives the requirements for a ... -
Unbiasedness of homogeneity test of normal mean vectors under multivariate order restrictions
(Wichita State University, 2017-05)This dissertation considers homogeneity test for comparing multivariate normal populations with generalized order restricted alternative hypothesis. The framework in this dissertation presents a generalized multivariate ... -
Composite optimal control for interconnected singularly perturbed systems
(Wichita State University, 2017-05)This dissertation deals with the design of a decentralized control and estimators for large scale interconnected singularly perturbed stochastic systems for system stabilization and cost minimization. Singular perturbation ... -
Classification of simply connected cohomogeneity one manifolds in lower dimensions
(Wichita State University, 2017-05)A cohomogeneity one manifold is a topological manifold with an effective topological action of a compact Lie group whose quotient is one dimensional. Cohomogeneity one manifolds were introduced by Mostert in 1957, however ... -
Torus actions on simply connected 4-manifolds
(Wichita State University, 2017-05)In this paper, we study smooth effective actions of the 2-dimensional torus group T 2 ~= SO(2)xSO(2) on simply connected, closed 4-dimensional manifolds. Using the conical orbit space of the quotient, a cross-sectioning ... -
Preface -- Inverse Problems for Partial Differential Equations First Edition Preface
(Springer, 2017)This book describes the contemporary state of the theory and some numerical aspects of inverse problems in partial differential equations. The topic is of substantial and growing interest for many scientists and engineers ... -
Preface -- Inverse Problems for Partial Differential Equations Second Edition Preface
(Springer, 2017)In 8 years after the publication of the first version of this book, the rapidly progressing field of inverse problems witnessed changes and new developments. Parts of the book were used at several universities, and many ... -
Isotropic two-dimensional pseudo-Riemannian metrics uniquely constructed by a given curvature
(Elsevier, 2018-01)We prove a global uniqueness theorem of reconstruction of a two-dimensional pseudo metric by a given Gaussian curvature. -
Appendix -- Function Spaces
(Springer, 2017)We collect here definitions and known results about space Ck+λ of H¨older continuous functions and about Sobolev space Hkp that we used in the book -
Chapter 1 -- Inverse Problems
(Springer, 2017)In this chapter, we formulate basic inverse problems and indicate their applications. The choice of these problems is not random. We think that it represents their interconnections and some hierarchy. -
Chapter 3 -- Uniqueness and Stability in the Cauchy Problem
(Springer, 2017)In this chapter we formulate and in many cases prove results on the uniqueness and stability of solutions of the Cauchy problem for general partial differential equations. One of the basic tools is Carleman-type estimates. ... -
Preface -- Inverse Problems for Partial Differential Equations Third Edition Preface
(Springer, 2017)In 10 years after the publication of the second edition of this book, the changing field of inverse problems witnessed further new developments. Parts of the book were used at several universities, and many colleagues and ... -
Chapter 2 -- Ill-Posed Problems and Regularization
(Springer, 2017)In this chapter, we consider the equation. -
Chapter 5 -- Elliptic Equations: Many Boundary Measurements
(Springer, 2017)We consider the Dirichlet problem (4.0.1), (4.0.2). At first we assume that for any Dirichlet data g0 we are given the Neumann data g1; in other words, we know the results of all possible boundary measurements, or the ... -
Chapter 7 -- Integral Geometry and Tomography
(Springer, 2017)The problems of integral geometry are to determine a function given (weighted) integrals of this function over a “rich” family of manifolds. These problems are of importance in medical applications (tomography), and they ...
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