Mathematics Scholarly Works: Recent submissions
Now showing items 101-120 of 283
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Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space
(Texas State University, Department of Mathematics, 2007-11-09) -
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension
(American Institute of Physics, 2008-11-08)Based on the recent work [Komech et al., “Dispersive estimates for 1D discrete Schrödinger and Klein-Gordon equations,” Appl. Anal.85, 1487 (2006)] for compact potentials, we develop the spectral theory for the one-dimensional ... -
Asymptotic stability of small solitons in the discrete nonlinear Schrödinger equation in one dimension
(Society for Industrial and Applied Mathematics, 2009-11-05)Asymptotic stability of small bound states in one dimension is proved in the framework of a discrete nonlinear Schrödinger equation with septic and higher power-law nonlinearities and an external potential supporting a ... -
Global regularity for the minimal surface equation in Minkowskian geometry
(De Gruyter Open, 2011-05-05)We study the minimal surface equation in Minkowskian geometry in , which is a well-known quasilinear wave equation. The classical result of Lindblad, [Proc. Amer. Math. Soc. 132: 1095–1102, 2004], establishes global existence ... -
Asymptotic stability of small gap solitons in nonlinear Dirac equations
(American Institute of Physics, 2012-07-10)We prove dispersive decay estimates for the one-dimensional Dirac operator and use them to prove asymptotic stability of small gap solitons in the nonlinear Dirac equations with quintic and higher-order nonlinear terms. -
On the dynamics of the four‐dimensional rigid body in a quadratic potential field
(American Institute of Physics, 1995-04-19)We study the nondegenerated solutions of the rotation of a four‐dimensional rigid body in a quadratic potential field. This problem has 6 degrees of freedom. We obtain 143 topologically different solutions and explicit ... -
Conditional stability theorem for the one dimensional Klein-Gordon equation
(American Institute of Physics, 2011-10-24)The paper addresses the conditional non-linear stability of the steady state solutions of the one-dimensional Klein-Gordon equation for large time. We explicitly construct the center-stable manifold for the steady state ... -
Deterministic thinning of finite Poisson processes
(American Mathematical Society, 2011-08-19) -
Poisson splitting by factors
(Institute of Mathematical Statistics, 2011-11-02)Given a homogeneous Poisson process on ℝd with intensity λ, we prove that it is possible to partition the points into two sets, as a deterministic function of the process, and in an isometry-equivariant way, so that each ... -
Singular foliation C*-algebras
(American Mathematical Society, 1988-12-02)A way to construct C^*-algebras from the so-called singular foliations is proposed, which generalizes Connes' construction of C*-algebras of regular foliations. A certain desired property is shown to hold for such C*-algebras ... -
Toeplitz C*-algebras over pseudoconvex Reinhardt domains
(American Mathematical Society, 1989) -
On the type of Wiener-Hopf C*-algebras
(American Mathematical Society, 1990-08-02) -
Isomorphism of the Toeplitz C*-algebras for the Hardy and Bergman spaces on certain Reinhardt domains
(American Mathematical Society, 1992-09-01) -
Symplectic leaves and deformation quantization
(American Mathematical Society, 1996-01-01)In this paper, we show that for any classical simple compact Poisson Lie group K, there is no quantization of K using the quantum group Kq, which is both group-preserving and symplectic leaf-preserving. -
The structure of quantum spheres
(American Mathematical Society, 2001-04-02) -
A note on the cone restriction conjecture in the cylindrically symmetric case
(American Mathematical Society, 2009-08-28)In this paper, we present two arguments showing that the classical linear adjoint cone restriction conjecture holds for the class of functions supported on the cone and invariant under spatial rotation in all dimensions. ... -
Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation
(Texas State University, Department of Mathematics, 2009-09-04)In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schr¨odinger equation in all dimensions based on the recent linear profile decomposition result. We then present ... -
A space of small spread without the usual properties
(American Mathematical Society, 1974-03-02) -
p-points in iterated forcing extensions
(American Mathematical Society, 1978-05-03)Selective ultrafilters exist in direct iterated ccc extensions whose length has uncountable cofinality, as do p-points which are not selective. Nonselective p-points also exist e.g. in an iterated Laver or Mathias extension ... -
A reformulation of S and L
(American Mathematical Society, 1978-05-02)We give a combinatorial statement which is equivalent to the existence of an S space, and one equivalent to the existence of an L space, thus verifying the widespread intuition that the problem of S and L is essentially ...