Some Sufficient Conditions for the Controllability of Wave Equations with Variable Coefficients

Liu, Yuning (2013) Some Sufficient Conditions for the Controllability of Wave Equations with Variable Coefficients. ACTA APPLICANDAE MATHEMATICAE, 128 (1). pp. 181-191. ISSN 0167-8019, 1572-9036

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Abstract

Motivated by Fu et al. (SIAM J. Control Optim. 46: 1578-1614, 2007), we present in this paper some 'algebraic' conditions that ensure the controllability of wave equations with non-constant coefficients. Compared with the 'geometric' conditions obtained in Yao (SIAM J. Control Optim. 37: 1568-1599, 1999), the conditions presented here are easier to be verified because only the first order derivatives of the coefficients are involved.

Item Type: Article
Uncontrolled Keywords: ; Exact controllability; Wave equation; Variable coefficients; Carleman estimate
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Mar 2020 13:08
Last Modified: 23 Mar 2020 13:08
URI: https://pred.uni-regensburg.de/id/eprint/15621

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