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Research Article Open access CC BY 4.0

Regional Boundary Exact Controllability of the Wave Equation by Strategic Actuators on a Polygonal Domain with Cracks

Cheikh Seck, Ousmane Sène, Teuw Niane

Journal of Advances in Mathematics and Computer Science · pp. 100–111 · Published 3 Sep 2020

10.9734/jamcs/2020/v35i630294

Abstract

In this work we prove the exact controllability of the wave equation by acting on a strategic zone of the border of a non-convex polygonal domain with crack. Indeed, by combining two methods: that of Grisvard on the exact controllability on domains with corners and that of EL. Jai on the boundary strategic actutors, this exact controllability result has been proven.

Laplacian singularities dualities cracks controllability error estimations strategic actuators

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