Results 61 to 70 of about 755,891 (241)

Duality for Evolutionary Equations With Applications to Null Controllability

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley   +1 more source

Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces

Journal of Function Spaces, 2014
Using Bregman functions, we introduce a new hybrid iterative scheme for finding common fixed points of an infinite family of Bregman weakly relatively nonexpansive mappings in Banach spaces. We prove a strong convergence theorem for the sequence produced
Chin-Tzong Pang, Eskandar Naraghirad
doaj   +1 more source

Global wave-front sets of Banach, Fr{\'e}chet and Modulation space types, and pseudo-differential operators

, 2013
We introduce global wave-front sets $\operatorname{WF}_{{\mathcal B}} (f)$, $f\in {\mathscr S}^\prime(\textbf{R}^d)$, with respect to suitable Banach or Fr\'echet spaces ${\mathcal B}$.
Boggiatto, Cordes, Coriasco, Coriasco, Coriasco, Feichtinger, Feichtinger, Feichtinger, Folland, Gröchenig, Gröchenig, Holst, Hörmander, Hörmander, Hörmander, Joachim Toft, Karoline Johansson, Khrennikov, Kristensson, Luef, Luxemburg, Melrose, Parenti, Pilipović, Pilipović, Ruzhansky, Sandro Coriasco, Toft, Toft   +28 more
core   +1 more source

On the Mean‐Field Limit of Consensus‐Based Methods

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley   +1 more source

New Banach Sequence Spaces Defined by Jordan Totient Function

Communications in Advanced Mathematical Sciences, 2023
In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Uskan Devletli, Merve Ilkhan Kara
doaj   +1 more source

The spatial distribution in infinite dimensional spaces and related quantiles and depths

, 2014
The spatial distribution has been widely used to develop various nonparametric procedures for finite dimensional multivariate data. In this paper, we investigate the concept of spatial distribution for data in infinite dimensional Banach spaces.
Chakraborty, Anirvan, Chaudhuri, Probal
core   +1 more source

Necessary conditions for the boundedness of linear and bilinear commutators on Banach function spaces [PDF]

, 2017
In this article we extend recent results by the first author on the necessity of $BMO$ for the boundedness of commutators on the classical Lebesgue spaces. We generalize these results to a large class of Banach function spaces.
Lucas Chaffee, D. Cruz-Uribe
semanticscholar   +1 more source

Noncompactness of Fourier convolution operators on Banach function spaces [PDF]

Annals of Functional Analysis, 2019
Let $X(\mathbb{R})$ be a separable Banach function space such that the Hardy-Littlewood maximal operator $M$ is bounded on $X(\mathbb{R})$ and on its associate space $X'(\mathbb{R})$. Suppose $a$ is a Fourier multiplier on the space $X(\mathbb{R})$.
C. Fernandes, A. Karlovich, Y. Karlovich
semanticscholar   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

Nonstandard Hulls of Locally Exponential Lie Algebras

, 2008
We show how to construct the nonstandard hull of certain infinite-dimensional Lie algebras in order to generalize a theorem of Pestov on the enlargeability of Banach-Lie algebras.
Goldbring, Isaac
core   +2 more sources