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arXiv · 1801.00339

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

Walton Green·Shitao Liu·Mishko Mitkovski
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Abstract

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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Walton Green, Shitao Liu, Mishko Mitkovski. 2017-12-31. A Harmonic Analysis Proof of the Boundary Observability Inequality for the Wave Equation and Visco-Elastic Equation. https://arxiv.org/abs/1801.00339

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