An Ingham type proof for the boundary observability of a N-d wave equation
Abstract
The boundary observability of the wave equation has been studied by many authors. A method of choice is to use the multiplier method. Recently, a first Fourier based proof is given in the case where the domain is a square, thanks to a new Hautus type test. We give here a new self-contained proof with an Ingham type approach in the more general case where the domain is a product of intervals; this leads to explicit time and constants. However, we do not reach the optimal time which can be obtained for this problem by the multiplier method.
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