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arxiv: 1801.00339 · v1 · pith:UGF5IF2Ynew · submitted 2017-12-31 · 🧮 math.AP

A Harmonic Analysis Proof of the Boundary Observability Inequality for the Wave Equation and Visco-Elastic Equation

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keywords equationinequalityobservabilityproofwaveanalysisboundaryharmonic
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In this paper, we give a harmonic analysis proof of the Neumann boundary observability inequality for the wave equation in an arbitrary space dimension. Our proof is elementary in nature and gives a simple, explicit constant. We also extend the method to prove the observability inequality of a visco-elastic wave equation.

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