Results 81 to 90 of about 5,623,825 (245)

Generalized Lipschitz Algebras [PDF]

, 1967
A class of Banach algebras which generalize the idea of the Lipschitz algebra on a metric space is studied. It is shown that homomorphisms of these algebras correspond to mappings of the underlying space which satisfy certain moduli of continuity.
Bishop, Ernest
core  

Nonsmooth trust region algorithms for locally Lipschitz functions on Riemannian manifolds [PDF]

, 2021
This paper presents a Riemannian trust region algorithm for unconstrained optimization problems with locally Lipschitz objective functions defined on complete Riemannian manifolds. To this end we define a function $\Phi :TM\rightarrow \mathbb {R}$ on the
Grohs, P., Hosseini, S.
core  

Infinitely many solutions for an anisotropic differential inclusion on unbounded domains

Electronic Journal of Qualitative Theory of Differential Equations
The problem deals with the anisotropic $p(x)$-Laplacian operator where $p_i$ are Lipschitz continuous functions $2\leq p_i(x)
Giovany Figueiredo, Abdolrahman Razani
doaj   +1 more source

General existence results for nonconvex third order differential inclusions

Electronic Journal of Qualitative Theory of Differential Equations, 2010
In this paper we prove the existence of solutions to the following third order differential inclusion: $$\left\{ \begin{array}{ll} x^{(3)}(t)\in F(t,x(t),\dot{x}(t),\ddot{x}(t))+G(x(t),\dot{x}(t),\ddot{x}(t)), \mbox{ a.e.
Messaoud Bounkhel, B. Al-Senan
doaj   +1 more source

A Splitting Architecture for Exact Reduced Coulomb Friction

Computer Graphics Forum, EarlyView.
Abstract Existing approaches to frictional contact dynamics typically either modify the Coulomb law to improve numerical robustness or solve the exact law in a fully coupled monolithic form. However, in its reduced form, exact Coulomb friction can be written as a cone complementarity problem with an augmented velocity, which reveals a natural split ...
Hongcheng Song, Ye Fan, Uri M. Ascher, Dinesh K. Pai   +3 more
wiley   +1 more source

A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces

International Statistical Review, EarlyView.
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri, Bernardo Nipoti, Emilio Porcu, Philip White   +3 more
wiley   +1 more source

A Note on Local Polynomial Regression for Time Series in Banach Spaces

Journal of Time Series Analysis, EarlyView.
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley   +1 more source

A Natural Diffusion Distance and Equivalence of Local Convergence and Local Equicontinuity for a General Symmetric Diffusion Semigroup

Abstract and Applied Analysis, 2018
In this paper, we consider a general symmetric diffusion semigroup Ttft≥0 on a topological space X with a positive σ-finite measure, given, for t>0, by an integral kernel operator: Ttf(x)≜∫X‍ρt(x,y)f(y)dy.
Maxim J. Goldberg, Seonja Kim
doaj   +1 more source

Galerkin-type minimizers to a competing problem for (\vec{p},\vec{q})-Laplacian with variable exponents [PDF]

Opuscula Mathematica
This study focuses on a sequence of approximate minimizers for the functional \[J(u)=\int\limits_{\Omega}\sum\limits_{i=1}^{N}\frac{1}{p_{i}(x)}\bigg|\frac{\partial u}{\partial x_{i}}\bigg|^{p_{i}(x)}dx-\mu\int\limits_{\Omega}\sum\limits_{i=1}^{N}\frac{1}
Zhenfeng Zhang, Mina Ghasemi, Calogero Vetro   +2 more
doaj   +1 more source

Sequential Outlier Detection in Nonstationary Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT A novel method for sequential outlier detection in nonstationary time series is proposed. The method tests the null hypothesis of “no outlier” at each time point, addressing the multiple testing problem by bounding the error probability of successive tests, using extreme‐value theory. The asymptotic properties of the test statistic are studied
Florian Heinrichs, Patrick Bastian, Holger Dette   +2 more
wiley   +1 more source