Results 1 to 10 of about 792 (140)
Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.
Khoirunisa Khoirunisa +2 more
doaj +1 more source
Actuators, 2021 This paper has dealt with a tracking control problem for a class of unstable reaction–diffusion system with time delay. Iterative learning algorithms are introduced to make the infinite-dimensional repetitive motion system track the desired trajectory. A
Yaqiang Liu, Jianzhong Li, Zengwang Jin
doaj +1 more source
Weak Poincaré inequalities and hitting times for jump processes
Journal of Inequalities and Applications, 2016 In this paper, we get a criteria of weak Poincaré inequality by some integrability of hitting times for jump processes. In fact, integrability of hitting times on a subset F of state space E implies that the taboo process restricted on E ∖ F $E\setminus ...
Huihui Cheng, Hongde Xiao
doaj +1 more source
AppliedMath, 2023 In the first part of this article, we present a new proof for Korn’s inequality in an n-dimensional context. The results are based on standard tools of real and functional analysis.
Fabio Silva Botelho
doaj +1 more source
Cubo, 2021 This paper is mainly concerned with: (i) a generalization of the Rellich’s Lemma to a Riemann subdomain of a complex space, (ii) the Poincaré inequality, and (iii) Friedrichs extension of a Schrödinger type operator.
Chia-chi Tung, Pier Domenico Lamberti
doaj +1 more source
Admissibility versus Ap-Conditions on Regular Trees
Analysis and Geometry in Metric Spaces, 2020 We show that the combination of doubling and (1, p)-Poincaré inequality is equivalent to a version of the Ap-condition on rooted K-ary trees.
Nguyen Khanh Ngoc, Wang Zhuang
doaj +1 more source
Poincaré-Type Inequalities for the Composite Operator in L𝒜-Averaging Domains
Abstract and Applied Analysis, 2014 We first establish the local Poincaré inequality with L𝒜-averaging domains for the composition of the sharp maximal operator and potential operator, applied to the nonhomogenous A-harmonic equation.
Guannan Shi, Yuming Xing, Baiqing Sun
doaj +1 more source
Topological Hausdorff dimension and Poincaré inequality
Extracta Mathematicae, 2022 A relationship between Poincaré inequalities and the topological Hausdorff dimension is exposed—a lower bound on the dimension of Ahlfors regular spaces satisfying a weak (1, p)-Poincaré inequality is given.
C.A. DiMarco
doaj
An Orlicz-Besov Poincaré Inequality via John Domains
Journal of Function Spaces, 2019 Denote by B˙⁎α,ϕ(Ω) the intrinsic Orlicz-Besov space, where α∈R, ϕ is a Young function, and Ω⊂Rn is a domain. For α∈(-n,0) and optimal ϕ, via John domains, we establish criteria for bounded domains Ω⊂Rn supporting an Orlicz-Besov Poincaré inequality.
Hongyan Sun
doaj +1 more source
Ar (λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors
International Journal of Mathematics and Mathematical Sciences, 2002 We prove a local version of weighted Caccioppoli-type inequality, then we prove a version of weighted Poincaré-type inequality for A-harmonic tensors both locally and globally.
Bing Liu
doaj +1 more source