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Mathematics > Analysis of PDEs

arXiv:1801.00339 (math)
[Submitted on 31 Dec 2017]

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

Authors: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.
Subjects: Analysis of PDEs (math.AP)
MSC classes: Primary 93B07, 35L10, Secondary 35P10
Cite as: arXiv:1801.00339 [math.AP]
  (or arXiv:1801.00339v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1801.00339

Submission history

From: Walton Green [view email]
[v1] Sun, 31 Dec 2017 18:57:28 UTC (13 KB)
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