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Indeed, Lemma 3.3 (to be precise: (3.44)) in [2] plays an important role in the proof of energy decay, where the authors used the unique continuation property of wave equations; see [16] for details and [2], [17], [18] for an application.
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Baldwin's past is proof of her energy.
"The greatness of yesterday's demonstrations were proof of the energy of our democracy".
The following integral inequality plays an important role in our proof of the energy decay of the solutions to problem (1.1).
In the beginning, we give the following lemma which is cited from Lemma 3 in [37], and we shall need it in the proof of the energy norm estimate.
Over the years, CTV has been involved with launching well over 200 companies based on Columbia's technologies, and has also founded several technology initiatives to accelerate the path to market for promising technologies, including the PowerBridgeNY clean energy proof-of-concept center, the NYC Media Lab, and the Columbia-Coulter Translational Research Partnership.
The sun and stars are daily proof of the great energy released when light atomic nuclei join together.
We provide detailed proof of the unconditional energy stability and present issues on the practical implementations.
In addition, the proof of the discrete energy conservation is an open problem.
This paper presents the results of high-energy TWDEC simulation experiments as a follow-up to the previously reported proof-of-principle experiments for low energy.
The occasional exquisite detail in the banding pattern is accepted as virtual proof of the low-energy dislocation structure (LEDS) hypothesis, the basic tenet from which the LEDS theory of crystal plasticity follows without further assumptions.
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