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On Lipschitz Inversion of Nonlinear Redundant Representations
Lipschitz Inversion Nonlinear Redundant Representations
2015/9/29
In this note we show that reconstruction from magnitudes of frame coefficients (the so called “phase retrieval problem”) can be performed using Lipschitz continuous maps. Specifically we show that whe...
Geometric Analysis for the Metropolis Algorithm on Lipschitz Domains
Geometry comparison Steve Nash sobolev inequality the convergence rate
2015/7/7
This paper gives geometric tools: comparison, Nash and Sobolev inequalities for pieces of the relevent Markov operators, that give useful bounds on rates of convergence for the Metropolis algorithm. A...
度量凸空间中Lipschitz型非自映射族的唯一公共不动点
度量凸空间 Lipschitz型条件 公共不动点 完备
2013/10/16
考察了完备的度量凸空间框架下满足具有变系数的Lipschitz条件的非自映射族并根据给定的边界条件和映射族构造了一个收敛序列{xn},然后证明了该序列的唯一极限正是映射族的唯一的公共不动点.最后给出了更广泛的结果.所得结果推广和改进了许多压缩型映射族的公共不动点定理.
研究一类离散时间Lipschitz 非线性时变时滞系统的H∞ 估计问题. 通过状态扩展方法, 将时变时滞系统
转化为具有时变参数的无时滞系统. 结合H∞ 性能指标和Lipschitz 非线性条件, 构造不定二次型并建立与Krein 空
间H2 估计的联系. 运用新息分析方法和Krein 空间投影公式, 给出了H∞ 估计器存在的充分条件和基于Riccati 方程
的估计器递推算法. 最后, 通...
Weighted Lipschitz estiamtes for commutators of one-sided operators on one-sided Triebel-Lizorkin spaces
one-sided weight weighted Lipschitz function one-sided Triebel-Lizorkin space one-sided singular integral
2012/6/15
Using the extrapolation of one-sided weights, we establish the boundedness of commutators generated by weighted Lipschitz functions and one-sided singular integral operators from weighted Lebesgue spa...
Amenability, locally finite spaces, and bi-lipschitz embeddings
amenability isoperimetric constant embeddings into Hilbert spaces
2012/5/24
We define the isoperimetric constant for any locally finite metric space and we study the property of having isoperimetric constant equal to zero. This property, called Small Neighborhood property, cl...
局部Lipschitz条件下的正倒向重随机微分方程
随机分析 正倒向重随机微分方程 适应解
2011/11/7
在局部Lipschitz条件下，得到了任意给定时间区间上，正倒向重随机微分方程的解的存在唯一性结果.
一类非Lipschitz条件下RBSDE解的研究
反射倒向随机微分方程 存在唯一性 一致连续生成元 比较定理
2011/11/4
研究单个连续障碍的反射倒向随机微分方程解的存在唯一性，其生成元关于y和z都是一致连续的，且不要求 有界，并在 的条件下给出反射倒向随机微分方程解的比较定理。运用逼近的思想处理反射项，用Lipschitz函数加无穷小项控制一致连续函数的方法处理z解，再结合Bihari不等式得到方程的唯一解。比较定理是通过Tanaka公式、Girsanov变换和Bihari不等式得到。
Real-variable Characterizations of Orlicz-Hardy Spaces on Strongly Lipschitz Domains of $\mathbb{R}^n$
Orlicz-Hardy space divergence form elliptic operator strongly Lipschitz domain Dirichlet boundary condition Gaussian property nontangential maximal function
2011/9/13
Abstract: Let $\Omega$ be a strongly Lipschitz domain of $\mathbb{R}^n$, whose complement in $\mathbb{R}^n$ is unbounded. Let $L$ be a second order divergence form elliptic operator on $L^2 (\Omega)$ ...
Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations
regularity of generalized solutions viscosity solutions nonlinear elliptic equations
2011/9/13
Abstract: We establish new Hoelder and Lipschitz estimates for viscosity solutions of a large class of elliptic and parabolic nonlinear integro-differential equations, by the classical Ishii-Lions's m...
Orlicz-Hardy Spaces Associated with Divergence Operators on Unbounded Strongly Lipschitz Domains of $\mathbb{R}^n$
Orlicz-Hardy space divergence form elliptic operator strongly Lipschitz domain Neumann boundary condition Gaussian property
2011/9/9
Abstract: Let $\Omega$ be either $\mathbb{R}^n$ or an unbounded strongly Lipschitz domain of $\mathbb{R}^n$, and $\Phi$ be a continuous, strictly increasing, subadditive and positive function on $(0,\...
Abstract: The Lipschitz constant of a finite normal-form game is the maximal change in some player's payoff when a single opponent changes his strategy. We prove that games with small Lipschitz consta...
Boundary integral operator for the fractional Laplace equation in a bounded Lipschitz domain
boundary integral operator layer potential fractional Laplacian bounded Lipschitz domain
2011/8/25
Abstract: We study the boundary integral operator induced from fractional Laplace equation in a bounded Lipschitz domain. As an application, we study the boundary value problem of a fractional Laplace...
On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds
Riemannian manifolds Finsler manifolds Banach spaces
2011/2/24
Let us consider a Riemannian manifold M (either separable or non-separable). We prove that, for every " > 0, every Lipschitz function f : M ! R can be uniformly approximated by a Lipschitz, C1-smooth ...
Lipschitz-continuity of the integrated density of states for Gaussian random potentials
Lipschitz-continuity integrated density states for Gaussian random potentials
2011/1/17
The integrated density of states of a Schr¨odinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported and has positive me...