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arXiv · 2110.12465

A Carleman estimate and an energy method for a first-order symmetric hyperbolic system

G. Floridia·H. Takase·M. Yamamoto
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Abstract

For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman estimate, we prove an observability $L^2$-estimate for initial values by boundary data.

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G. Floridia, H. Takase, M. Yamamoto. 2021-10-24. A Carleman estimate and an energy method for a first-order symmetric hyperbolic system. https://doi.org/10.3934/ipi.2022016

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