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Observability Inequalities by Internal Observation and Their Applications
Journal of Optimization Theory and Applications, 2003The systems under study are described by the wave equation \[ {\partial^2 y(t, x) \over \partial t^2} - \Delta y(t, x) = a_1(t, x)y(t, x) + a_2(t, x) {\partial y(t, x) \over \partial t} + \langle a_3(t, x), \nabla y(t, x) \rangle \] in a \(n\)-dimensional domain \(\Omega\) with boundary \(\Gamma,\) with initial conditions \[ y(0, x) = y_0(x),\;\partial
Liu, K., Yamamoto, M., Zhang, X.
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Observations on Moser's inequality
Archive for Rational Mechanics and Analysis, 1989Starting from the limiting case of the Sobolev imbedding theorem of Trudinger, Moser has proved two different one-dimensional inequalities of more general nature. One of them has its applications in partial differential equations, the other in differential geometry.
McLeod, J. B., Peletier, L. A.
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Bell’s inequality, trichotomic observables, and supplementary assumptions
Physical Review A, 1996A general approach to Bell-type inequalities for trichotomic observables is presented. With this formalism, which explicitly includes no-counts events, we show that the limits of all Bell-type inequalities are functions of the supplementary assumptions.
De Caro L, Garuccio A
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2019
This chapter advocates the development of comparative organizational research designs as the empirical basis for studying both the generic and contingent processes that generate inequality. After explaining where past quantitative and qualitative researchers have gone wrong, it goes on to examine and promote contemporary comparative organizational ...
Donald Tomaskovic-Devey +1 more
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This chapter advocates the development of comparative organizational research designs as the empirical basis for studying both the generic and contingent processes that generate inequality. After explaining where past quantitative and qualitative researchers have gone wrong, it goes on to examine and promote contemporary comparative organizational ...
Donald Tomaskovic-Devey +1 more
openaire +1 more source
Observability inequalities for shallow shells
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2000The author established some observability inequalities from boundary for a general shallow shell with a middle surface of any shape. The middle surface is viewed as a Riemann manifold with the induced metric in \(\mathbb{R}^3\). With the assumption (H2) be established an estimate for the model proposed in the case that no boundary conditions are ...
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Observability inequalities for thin shells
Science China Mathematics, 2003We 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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Bell’s Inequality for Trichotomic Observables
1995In order to give a more complete description of an actual experiment on EPR paradox, the upper limits for Bell and Clauser-Horn-Shimony-Holt inequalities are deduced in the case of three-valued observables. This limit results a function of the supplementary assumptions.
Garuccio A, De Caro L
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Observing Organizational Inequality Regimes
2016Abstract 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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Observability inequality for the Petrovsky equation
Acta Mathematicae Applicatae Sinica, English Series, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, Zhong-Yu, Chai, Shu-Gen
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Observability Inequality at Two Time Points for KdV Equations
SIAM Journal on Mathematical Analysis, 2021The aim of this paper is to prove an observability inequality from two time points for the linear Korteweg-de Vries (KdV) equation with an explicit constant. The proof relies on a quantitative analytic estimate for the linear KdV with compact support initial data and an uncertainty principle of super-analytic functions.
Ze Li, Ming Wang
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