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arXiv · 1708.07165

Observability inequalities on measurable sets for the Stokes system and applications

Felipe W. Chaves-Silva·Diego A. Souza·Can Zhang
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Abstract

In this paper, we establish spectral inequalities on measurable sets of positive Lebesgue measure for the Stokes operator, as well as an observability inequalities on space-time measurable sets of positive measure for non-stationary Stokes system. Furthermore, we provide their applications in the theory of shape optimization and time optimal control problems.

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Felipe W. Chaves-Silva, Diego A. Souza, Can Zhang. 2017-08-23. Observability inequalities on measurable sets for the Stokes system and applications. https://arxiv.org/abs/1708.07165

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