A weighted identity for partial differential operators of second order and its applications |
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Authors: | Xiaoyu Fu |
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Institution: | School of Mathematics, Sichuan University, Chengdu 610064, China |
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Abstract: | In this Note, a weighted identity for partial differential operators of second order is established. As its applications, one may deduce all the known controllability/observability results for the parabolic, hyperbolic, Schrödinger and plate equations that are derived via Carleman estimate. Meanwhile, a new controllability/observability result is presented for the parabolic equations with a complex principal part. To cite this article: X. Fu, C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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