Results 21 to 30 of about 15,768 (236)
, 2020 We investigate the probabilistic and analytic properties of Volterra processes constructed as pathwise integrals of deterministic kernels with respect to the H\"older continuous trajectories of Hilbert-valued Gaussian processes.
Benth, Fred E., Harang, Fabian A.
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Conservation of geometric structures for non-homogeneous inviscid incompressible fluids [PDF]
, 2012 We obtain a result about propagation of geometric properties for solutions of the non-homogeneous incompressible Euler system in any dimension $N\geq2$.
Francesco Fanelli, Université Paris-est
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Triple Diamond-Alpha integral and Hölder-type inequalities
Journal of Inequalities and Applications, 2018 In this paper, we first introduce the definition of triple Diamond-Alpha integral for functions of three variables. Therefore, we present the Hölder and reverse Hölder inequalities for the triple Diamond-Alpha integral on time scales, and then we obtain ...
Jing-Feng Tian
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H\"older regularity of the densities for the Navier--Stokes equations with noise [PDF]
, 2015 We prove that the densities of the finite dimensional projections of weak solutions of the Navier-Stokes equations driven by Gaussian noise are bounded and H\"older continuous, thus improving the results of Debussche and Romito [DebRom2014].
Romito, Marco
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Ergodicity of a Generalized Jacobi's Equation and Applications [PDF]
, 2015 Consider a $1$-dimensional centered Gaussian process $W$ with $\alpha$-H\"older continuous paths on the compact intervals of $\mathbb R_+$ ($\alpha\in ]0,1[$) and $W_0 = 0$, and $X$ the local solution in rough paths sense of Jacobi's equation driven by ...
Marie, Nicolas
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Journal of Inequalities and Applications, 2020 The aim of this study is to introduce the notion of two-dimensional approximately harmonic ( p 1 , h 1 ) $(p_{1},h_{1})$ - ( p 2 , h 2 ) $(p_{2},h_{2})$ -convex functions. We show that the new class covers many new and known extensions of harmonic convex
Saad Ihsan Butt +4 more
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Equidistribution speed towards the Green current for endomorphisms of P^k [PDF]
, 2010 Let f be a non-invertible holomorphic endomorphism of P^k. For a hypersurface H of P^k, generic in the Zariski sense, we give an explicit speed of convergence of f^{-n}(H) towards the dynamical Green (1,1)-current of ...
Taflin, Johan
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Zeros for the Gradients of Weakly A-Harmonic Tensors
Journal of Applied Mathematics, 2014 The Caccioppoli inequality of weakly A-harmonic tensors has been proved, which can be used to consider the weak reverse Hölder inequality, regularity property, and zeros of weakly A-harmonic tensors.
Yuxia Tong, Jiantao Gu, Shenzhou Zheng
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Journal of Inequalities and Applications, 2021 We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
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Some sample path properties of multifractional Brownian motion
, 2014 The geometry of the multifractional Brownian motion (mBm) is known to present a complex and surprising form when the Hurst function is greatly irregular.
Balança, Paul
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