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arXiv · 1812.07791

On Weak Observability For Evolution Systems with Skew-Adjoint Generators

Kaïs Ammari·Faouzi Triki
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Abstract

In the paper we consider the linear inverse problem that consists in recovering the initial state in a first order evolution equation generated by a skew-adjoint operator. We studied the well-posedness of the inversion in terms of the observation operator and the spectra of the skew-adjoint generator. The stability estimate of the inversion can also be seen as a weak observability inequality. The proof of the main results is based on a new resolvent inequality and Fourier transform techniques which are of interest themselves.

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Kaïs Ammari, Faouzi Triki. 2018-12-19. On Weak Observability For Evolution Systems with Skew-Adjoint Generators. https://arxiv.org/abs/1812.07791

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