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A note on geometric conditions for boundary control of wave equations with variable coefficients |
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| Authors: | Shao-Ji FengDe-Xing Feng |
| Affiliation: | a Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China b Academy of Mathematics and Systems Science, Institute of Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | The analytical condition given by Wyler for boundary stabilization of wave equations with variable coefficients is compared with the geometrical condition derived by Yao in terms of the Riemannian geometry method for exact controllability of wave equations with variable coefficients. It is shown that these two conditions are equivalent. |
| Keywords: | Wave equations Variable coefficients Riemannian manifold Covariant differential |
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