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Hölder continuity of tangent cones in RCD(K,N) spaces and applications to nonbranching
Geometry & Topology, 2020In this paper we prove that a metric measure space $(X,d,m)$ satisfying the finite Riemannian curvature-dimension condition ${\sf RCD}(K,N)$ is non-branching and that tangent cones from the same sequence of rescalings are H\"older continuous along the ...
Qintao Deng
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Existence and hölder continuity of solutions for time‐fractional Navier‐Stokes equations
Mathematical methods in the applied sciences, 2018The purpose of this work is to investigate the problem of solutions to the time‐fractional Navier‐Stokes equations with the Caputo derivative operators. The existence, uniqueness, and Hölder continuity of the local mild solutions are established.
Yong Zhou, Li Peng, Yunqing Huang
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Hölder Continuity for the Parabolic Anderson Model with Space-Time Homogeneous Gaussian Noise
Acta Mathematica Scientia, 2018In this article, we consider the Parabolic Anderson Model with constant initial condition, driven by a space-time homogeneous Gaussian noise, with general covariance function in time and spatial spectral measure satisfying Dalang’s condition.
R. Balan +2 more
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Quasiregular curves: Hölder continuity and higher integrability
Complex Analysis and its Synergies, 2020We show that a K-quasiregular ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
Jani Onninen, Pekka Pankka
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Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles
Mathematische Zeitschrift, 2017We show that if the base frequency is Diophantine, then the Lyapunov exponent of a $$C^{k}$$Ck quasi-periodic $$SL(2,{\mathbb {R}})$$SL(2,R) cocycle is 1 / 2-Hölder continuous in the almost reducible regime.
Ao Cai, C. Chavaudret, J. You, Qi Zhou
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Local Hölder continuity of weak solutions to a diffusive shallow medium equation
Nonlinear Analysis, 2019We show the local Holder continuity of bounded weak solutions to a doubly nonlinear parabolic equation used in models for diffusion of shallow media.
Thomas Singer, Matias Vestberg
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Local boundedness and Hölder continuity for the parabolic fractional p-Laplace equations
, 2021Mengyao Ding, Chao Zhang, Shulin Zhou
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Hölder Continuity of the Spectra for Aperiodic Hamiltonians
Annales de l'Institute Henri Poincare. Physique theorique, 2019We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are “close to each other” if, up to a translation, they “almost coincide” on a large ...
Siegfried Beckus +2 more
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Hölder Continuity of Generalized Harmonic Functions in the Unit Disc
Complex Analysis and Operator Theory, 2022A. Khalfallah, M. Mhamdi
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