2000•Proceedings of the Royal Society A Mathematical Physical and Engineering SciencesRequires access

Explicit observability estimate for the wave equation with potential and its application

Xueqing Zhang

Open publisher page 88 citations

Abstract

By means of the Carleman-type estimate, we obtain an explicit observability estimate for the wave equation with a potential. As its application, we get the exact internal controllability of the semilinear wave equations in any space dimensions.

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What this paper is about

By means of the Carleman-type estimate, we obtain an explicit observability estimate for the wave equation with a potential. As its application, we get the exact internal controllability of the semilinear wave equations in any space dimensions.

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OpenAlex reports 88 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

By means of the Carleman-type estimate, we obtain an explicit observability estimate for the wave equation with a potential. As its application, we get the exact internal controllability of the semilinear wave equations in any space dimensions.

Key concepts: Observability, Controllability, Wave equation, Mathematics, Mathematical analysis, Space (punctuation), Damped wave, Applied mathematics

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