Results 11 to 20 of about 374 (228)
Observability inequalities and measurable sets [PDF]
Journal of the European Mathematical Society, 2014 This paper presents two observability inequalities for the heat equation over \Omega\times (0,T) . In the first one, the observation is from a subset of positive measure in \Omega\times (0,T)
Apraiz, J. +3 more
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Inequalities for complementarity in observed statistics [PDF]
Physics Letters A, 2022 We provide an analysis of complementarity via a suitably designed classicalmodel that leads to a set of inequalities that can be tested by means ofunsharp measurements. We show that, if the measured statistics does notfulfill the inequalities it is equivalent to the lack of a joint distribution for theincompatible observables.
Elisa Masa, Laura Ares, Alfredo Luis
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Observed inequality in urban greenspace exposure in China
Environment International, 2021 Given the important role of green environments playing in healthy cities, the inequality in urban greenspace exposure has aroused growing attentions. However, few comparative studies are available to quantify this phenomenon for cities with different population sizes across a country, especially for those in the developing world. Besides, commonly used
Yimeng Song +13 more
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Sharp Observability Inequalities for Hyperbolic Systems with Potentials
ESAIM: Control, Optimisation and Calculus of Variations, 2023 This paper is devoted to a sharp internal/boundary observability inequality for a hyperbolic system with a zero order potential. For this purpose, we first establish a new Carleman estimate for hyperbolic operator inH1-norm. Based on this Carleman estimate and a modified auxiliary optimal control problem, we obtain Carleman estimate for hyperbolic ...
Fu, Xiaoyu, Liao, Zhonghua, Lü, Qi
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Partial Differential Equations in Applied MathematicsThis paper investigates the indirect boundary observability properties of one-dimensional strongly coupled wave equations in an approximated setting. Classical numerical discretization methods, such as finite differences and finite elements, typically ...
Abderrahim El Ayboudi +2 more
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Null controllability for a degenerate population model in divergence form via Carleman estimates
Advances in Nonlinear Analysis, 2019 In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
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Trace and observability inequalities for Laplace eigenfunctions on the torus
Forum of Mathematics, SigmaWe investigate trace and observability inequalities for Laplace eigenfunctions on the d-dimensional torus $\mathbb {T}^d$ , with respect to arbitrary Borel measures $\mu $ .
Nicolas Burq +3 more
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Observational-interventional Bell inequalities
Physical Review AGeneralizations of Bell's theorem, particularly within quantum networks, are now being analyzed through the causal inference lens. However, the exploration of interventions, a central concept in causality theory, remains significantly unexplored.
Davide Poderini +5 more
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Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges
Advanced Functional Materials, EarlyView.Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley +1 more source
An observation on the Turán–Nazarov inequality
Studia Mathematica, 2013 The main observation of this note is that the Lebesgue measure $\mu$ in the Tur\'an-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant $\omega \ge \mu$, which can be effectively estimated in terms of the metric entropy of a set, and may be nonzero for discrete and even finite sets.
Friedland, Omer, Yomdin, Yosef
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