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math.CA2019
Uncertainty Principles Associated to Sets Satisfying the Geometric Control Condition
Walton Green, Benjamin Jaye, Mishko Mitkovski
In this paper, we study forms of the uncertainty principle suggested by problems in control theory. We obtain a version of the classical Paneah-Logvinenko-Sereda theorem for the an…
math.AP2019★ 4 cited
On the Energy Decay Rate of the Fractional Wave Equation on with Relatively Dense Damping
Walton Green
We establish upper bounds for the decay rate of the energy of the damped fractional wave equation when the averages of the damping coefficient on all intervals of a fixed length ar…