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This work deals with the system $(-\Delta)^m u= a(x)\, v^p$, $(-\Delta)^m v=b(x)\, u^q$ with Dirichlet boundary condition in a domain $\Omega\subset\RR^n$, where $\Omega$ is a ball if $n\ge 3$ or a sm...
In this paper, we established a new Ostrowski-type inequality involving functions of two independent variables.
For the solution of full-rank ill-posed linear systems a new approach based on the Arnoldi algorithm is presented. Working with regularized systems, the method theoretically recon- structs the true ...
In this paper we study nonnegative, measure valued solutions of the initial value problem for one-dimensional drift-diffusion equations when the nonlinear diffusion is governed by an increasing C1 fu...
In this paper we present a complete description of a stochastic semigroup of finite-dimensional projections in Hilbert space. The geometry of such semigroups is characterized by the asymptotic be-havi...
The decrease of a Boolean function f : {0, 1}n → {0, 1},denoted by d(f) is the maximum number of inverse indices in any increasing chain of inputs x1, . . . , x ∈ {0, 1}n, where i is an inverse index...
We investigate the application of windowed Fourier frames (WFFs) to the numerical solution of partial di erential equations, focussing on elliptic equations. The action of a partial di erential operat...
Results of R. Stanley and M. Masuda completely characterize the h-vectors of simplicial posets whose order complexes are spheres. In this paper we examine the corresponding question in the case where ...
在线性增长和次线性增长条件下,利用临界点理论中的极小作用原理和鞍点定理,研究了二阶非自治Hamilton系统周期解的存在性问题,获得了一些新的可解性条件.
In this article, the so-called "Nyström method" is tested to compute optimal quantizers of Gaussian processes. In particular, we derive the optimal quantization of the fractional Brownian motion ...
In this paper, we consider the global existence and blowup phenomena of the following Cauchy problem−iut = u − V (x)u + f(x, |u|2)u + (W ⋆ |u|2)u, x ∈ RN, t > 0,u(x, 0) = u0(x), x ...
In this paper, we consider the Cauchy problem of Nonlinear Schr¨odinger equationiut + u = λ1|u|p1u + λ2|u|p2u, t ∈ R, x ∈ RN u(0, x) = ϕ(x), x ∈ RN,where N ≥ 3, 0 < p1 < p2 < 4 N−2 , λ1 ...
The Rees product of posets      Rees product  posets        2010/12/10
We determine how the flag f-vector of any graded poset changes under the Rees product with the chain, and more generally, any t-ary tree. As a corollary, the M¨obius function of the Rees product of a...
The aim of this paper is to prove two new uncertainty principles for the Fourier-Bessel transform (or Hankel transform). The first of these results is an extension of a result of Amrein-Berthier-Bened...

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