Results 71 to 80 of about 7,613 (204)
Diffusion limited mixing rates in passive scalar advection
, 2020 We are concerned with flow enhanced mixing of passive scalars in the presence of diffusion. Under the assumption that the velocity gradient is suitably integrable, we provide upper bounds on the exponential rates of mixing and of enhanced dissipation ...
Seis, Christian
core
Kantorovich Type Integral Inequalities for Tensor Product of Continuous\n Fields of Hilbert Space Operators [PDF]
, 2015 Pattrawut Chansangiam
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Note on stability estimation of stochastic difference equations
Open MathematicsStability estimates are proposed for two variants of Markov processes defined by stochastic difference equations: uncontrolled and controlled. Processes of this type are widely used in applications where their “governing distributions” are known only ...
Gordienko Evgueni, Ruiz de Chavez Juan
doaj +1 more source
Continuity of extensions of Lipschitz maps and of monotone maps
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract Let X$X$ be a subset of a Hilbert space. We prove that if v:X→Rm$v\colon X\rightarrow \mathbb {R}^m$ is such that v(x)−∑i=1mtiv(xi)⩽x−∑i=1mtixi$$\begin{equation*} {\left \Vert v(x)-\sum _{i=1}^m t_iv(x_i)\right \Vert} \leqslant {\left \Vert x-\sum _{i=1}^m t_ix_i\right \Vert} \end{equation*}$$for all x,x1,⋯,xm∈X$x,x_1,\dotsc,x_m\in X$ and all ...
Krzysztof J. Ciosmak
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An extension of Kantorovich inequality
, 2005 Let \(A\) be a (bounded linear) positive invertible operator acting on a Hilbert space \(H\) and let \(I=[m,M]\) be the convex hull of the spectrum of \(A\). The authors, as an extension of the Kantorovich inequality (KI): \((Ax,x)(A^{-1}x,x)\leq (m+M)^{2}/(4mM)\) (\(x\in H, \| x\| =1\)), propose the inequality (EKI): \((f(A)x,x)/g ((Ax,x)) \leq \max_ ...
IZUMINO, SAICHI, NAKAMURA, MASAHIRO
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Operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities
Journal of Inequalities and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Theoretical Economics, Volume 19, Issue 4, Page 1701-1755, November 2024.We present a unified duality approach to Bayesian persuasion. The optimal dual variable, interpreted as a price function on the state space, is shown to be a supergradient of the concave closure of the objective function at the prior belief. Strong duality holds when the objective function is Lipschitz continuous.
Piotr Dworczak, Anton Kolotilin
wiley +1 more source
Equality Conditions for Matrix Kantorovich-Type Inequalities
Journal of Mathematical Analysis and Applications, 1997 Following a paper of \textit{S. Liu} and \textit{H. Neudecker} [ibid. 197, No. 1, 23-26 (1996; Zbl 0853.15014)], the authors present sufficient and necessary conditions under which equality occurs in matrix Kantorovich-type inequalities. They also present several relevant inequalities. The following concluding comments are stated.
Liu, S., Polasek, W., Neudecker, H.
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Wealth Over Woe: Global Biases in Hydro‐Hazard Research
Earth's Future, Volume 12, Issue 10, October 2024.Abstract Floods, droughts, and rainfall‐induced landslides are hydro‐hazards that affect millions of people every year. Anticipation, mitigation, and adaptation to these hazards is increasingly outpaced by their changing magnitude and frequency due to climate change.
Lina Stein +7 more
wiley +1 more source
Schauder and Cordes–Nirenberg estimates for nonlocal elliptic equations with singular kernels
Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.Abstract We study integro‐differential elliptic equations (of order 2s$2s$) with variable coefficients, and prove the natural and most general Schauder‐type estimates that can hold in this setting, both in divergence and non–divergence form. Furthermore, we also establish Hölder estimates for general elliptic equations with no regularity assumption on ...
Xavier Fernández‐Real +1 more
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