Results 21 to 30 of about 666,505 (227)
A Liouville Theorem for the Euler Equations in the Plane [PDF]
Archive for Rational Mechanics and Analysis, 2017 This paper is concerned with qualitative properties of bounded steady flows of an ideal incompressible fluid with no stagnation point in the two-dimensional plane R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage ...
F. Hamel, N. Nadirashvili
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A Sharp Liouville Theorem for Elliptic Operators [PDF]
, 2010 We introduce a new condition on elliptic operators $L= {1/2}\triangle + b \cdot \nabla $ which ensures the validity of the Liouville property for bounded solutions to $Lu=0$ on $\R^d$. Such condition is sharp when $d=1$.
Priola, Enrico, Wang, Feng-Yu
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A Liouville theorem for stationary and ergodic ensembles of parabolic systems [PDF]
Probability theory and related fields, 2017 A first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity.
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Revisiting Taibleson's theorem
Electronic Research Archive, 2022 A new characterization of the weighted Taibleson's theorem for generalized Hölder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).
Humberto Rafeiro, Joel E. Restrepo
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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A C1 Arnol'd-Liouville theorem
, 2020 In this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each Lagrangian torus and that the ...
M. Arnaud, Jinxin Xue
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A C^1 Arnol'd-Liouville theorem [PDF]
Astérisque, 2016 In this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each Lagrangian torus and that the ...
M. Arnaud, Jinxin Xue
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New existence results for fractional differential equations in a weighted Sobolev space [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2021 In this paper, we give some conditions to prove the existence of solutions for a nonlinear boundary value problem of fractional differential equations with higher order q, (n-1 ...
Ahmed Hallaci +3 more
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Journal of Function Spaces, 2019 In this paper, we consider the following higher-order semipositone nonlocal Riemann-Liouville fractional differential equation D0+αx(t)+f(t,x(t),D0+βx(t))+e(t)=0 ...
Kemei Zhang
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A Liouville theorem for the higher-order fractional Laplacian [PDF]
Communications in Contemporary Mathematics, 2016 We study Navier problems involving the higher-order fractional Laplacians. We first obtain nonexistence of positive solutions, known as the Liouville-type theorems, in the upper half-space [Formula: see text] by studying an equivalent integral form of ...
Ran Zhuo, Yan Li
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