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Observability inequality for the Petrovsky equation

Acta Mathematicae Applicatae Sinica, English Series, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, Zhong-Yu, Chai, Shu-Gen
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Observability inequalities for thin shells

Science China Mathematics, 2003
We consider the exact controllability problem from boundary for thin shells. Under some checkable geometric assumptions on the middle surface, we establish the observability inequalities via the Bochner technique for the Dirichlet control and the Neumann control problems. We also give several examples to verify the geometric assumptions.
Shugen Chai, Pengfei Yao
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An observation on the Turán-Nazarov inequality

2011
The main observation of this note is that the Lebesgue measure $μ$ in the Turán-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant $ω\ge μ$, which can be effectively estimated in terms of the metric entropy of a set, and may be nonzero for discrete and even finite sets. While the frequencies (the imaginary
Friedland, Omer, Yomdin, Yosef
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Observing Organizational Inequality Regimes

2016
Abstract After multiple decades stumbling in the status attainment wilderness, the sociological study of inequality is now cultivating a new garden: the workplace generation of inequalities. While our theories have long focused on contextually embedded social relations – often in production – as generating inequality, our methods have
Donald Tomaskovic-Devey   +1 more
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Berry–Esseen inequalities for discretely observed diffusions

Monte Carlo Methods and Applications, 2009
Summary: For stationary ergodic diffusions satisfying nonlinear homogeneous Itô stochastic differential equations, the paper compares the bounds on the rates of convergence to normality (Berry-Esseen type) of two approximate maximum likelihood estimators of the drift parameter based on the Itô and the Fisk-Stratonovich approximations of the continuous ...
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On Xiang's Observations Concerning the Cauchy–Schwarz Inequality

The American Mathematical Monthly, 2015
We give a simple proof of an improved version of the Cauchy–Schwarz inequality for vectors and for functions, first observed by Xiang. Also we improve an inequality of Minkowski.
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Observability inequality for the wave equation

In this paper, only Carleman estimates are used, without energy estimates, we derive observability inequality. The main tool consists in the use of a new Carleman estimate.
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A false inequality which is true for a ``concrete observer''

1990
The authors discuss the problem of estimating the total absolute curvature of a simply closed curve by some function depending on its geometric degree only. Such an estimate is not existent in general because the total absolute curvature can be raised by adding small ``nonconvex'' parts to convex pieces without affecting the geometric degree.
BENEDETTI, RICCARDO, M. Dedo'
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Systems with Persistent Memory: The Observation Inequality

2014
The goal of this chapter is to present a different circle of ideas used in the study of systems with persistent memory. For this, we give a proof of controllability which relays on the direct and inverse inequalities of the wave equation. The key properties we shall encounter are the extension of the hidden regularity to systems with memory, a test for
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