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Equivalence of Reconstruction from the Absolute Value of the Frame Coefficients to a Sparse Representation Problem
frames nonlinear processing sparse representation
2015/9/29
The purpose of this note is to prove, for real frames, that signal reconstruction from the absolute value ofthe frame coefficients is equivalent to solution of a sparse signal optimization problem, na...
Obstacle problem for SPDE with nonlinear Neumann boundary condition via reflected generalized backward doubly SDEs
SPDE nonlinear Neumann boundary condition
2010/11/19
This paper is intended to give a representation for stochastic viscosity solution of semi-linear reflected stochastic partial differential equations with nonlinear Neumann boundary condition. We use i...
Fourier law, phase transitions and the stationary Stefan problem
Fourier law, phase transitions stationary Stefan problem
2010/12/10
We study the one-dimensional stationary solutions of an integro-differential equation derived by Giacomin and Lebowitz from Kawasaki dy-namics in Ising systems with Kac potentials, [5].
A Fourier analytic approach to the problem of mutually unbiased bases
Mutually unbiased bases complex Hadamard matrices difference sets Delsarte’s method
2010/12/15
We give an entirely new approach to the problem of mutually unbiased bases (MUBs), based on a Fourier analytic technique in additive combinatorics. The method provides a short and
elegant generalizat...
Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order
Phase retrieval Pauli problem Fractional Fourier transform entire function of finite order
2010/12/8
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. ...
ON A PROBLEM IN THE THEORY OF DETERMINANTS
2007/12/13
1. In 1867 Sylvester published a paper in Philos. Mag. with perhaps the funniesttitle ever written in the mathematical literature. The various questions treated hereall led him to the problem to deter...
A new upper and lower solution theory is presented for the second order problem $\,(G'(y))'+f(t,y)=0\,$ on finite and infinite intervals. The theory on finite intervals is based on a Leray--Schauder a...
ON NUMEROV SCHEME FOR NONLINEAR TWO-POINTS BOUNDARY VALUE PROBLEM
Nonlinear two-points boundary value problem New iterations for Nomerov scheme Monotone approximations
2007/12/12
Nonlinear Jacobi iteration and nonlinear Gauss-Seidel iteration are
proposed to solve the famous Numerov finite difference scheme for
nonlinear two-points boundary value problem. The concept of
sup...
QUADRILATERAL FINITE ELEMENTS FOR PLANAR LINEAR ELASTICITY PROBLEM WITH LARGE LAM$\{'E}$ CONSTANT
Planar linear elasticity optimal error estimates large Lam\'{e} constant locking phenomenon
2007/12/12
In this paper, we discuss the quadrilateral finite element approximation
to the two-dimensional linear elasticity problem associated with a
homogeneous isotropic elastic material. The optimal conver...
In this paper, we propose a class of new NCP functions and discuss their
properties.
By these function, we transfer the complementarity
problem into unconstrained optimization problem and study ...
The Exceptional Set in the Two Prime Squares and a Prime Problem
circle method Cauchy's inequality Siegel zero Dirichlet character
2007/12/11
In this paper we prove that, with at most $O(N^{\frac{5}{12}+\varepsilon})$ exceptions, all positive odd integers $n\leq N$ with $n\equiv 0 \, {\rm or} \ 1\, (\bmod\; 3) $ can be written as a sum of a...
A BOUNDARY ELEMENT APPROXIMATION OF A SIGNORINI PROBLEM WITH FRICTION OBEYING COULOMB LAW
2007/12/11
In this work, a Signorini problem with Coulomb friction in two dimensional elasticity is considered. Based on a new representation of the derivative of the double-layer potential, the original problem...
The Waring-goldbach Problem for Unlike Powers
Waring--Goldbach problem Circle method Exceptional set
2007/12/10
In this paper, it is proved that with at most $O(N^{\frac{65}{66}})$ exceptions, all even positive integers up to $N$ are expressible in the form $p_2^2+p_3^3+p_4^4+p_5^5$. This improves a recent resu...
On the Spectral Properties of the Regular Sturm-Liouville Problem with the Lag Argument for Which its Boundary Conditions Depends on the Spectral Parameter
Lag argument Eigenvalue Eigenfunction Asymptotic expression
2010/3/1
In this paper, the asymptotic expression of the eigenvalues and eigenfunctions of the Sturm-Liouville equation with the lag argument y''(t) + l2 y(t) + M(t)y (t - D(t)) = 0 and the spectral parameter ...