Results 181 to 190 of about 374 (228)

Runtime Monitoring of Static Fairness Properties

open access: yes
Henzinger TA   +3 more
europepmc   +1 more source
Some of the next articles are maybe not open access.

Applications of Observability Inequalities

SEMA SIMAI Springer Series, 2019
This article presents two observability inequalities for the heat equation over Ω × (0, T). In the first one, the observation is from a subset of positive measure in Ω × (0, T), while in the second, the observation is from a subset of positive surface measure on ∂Ω × (0, T).
Jone Apraiz
exaly   +2 more sources

Observability inequalities for degenerate transport equations [PDF]

open access: yesJournal of Evolution Equations, 2021
In this paper we prove an observability inequality for a degenerate transport equation. First we introduce a local in time Carleman estimate for the degenerate equation, then we apply it to obtain a global in time observability inequality by using also an energy estimate.
Giuseppe Floridia, Hiroshi Takase
exaly   +4 more sources

Observability Inequalities by Internal Observation and Their Applications

Journal of Optimization Theory and Applications, 2003
The 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.
exaly   +2 more sources

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