Abstract
In this section we provide an elementary proof of a Carleman estimate for secondorder elliptic operators. As it has already been remarked by Carleman in [29], this kind of estimates provides a powerful tool for proving unique continuation results for linear elliptic PDEs. Our approach is essentially based on Burq and Gérard [26]. More sophisticated versions of Carleman estimates are currently applied to quite general linear partial differential operators (see, for instance, Hörmander [103], Fursikov and Imanuvilov [69], Tataru [214, 216], Imanuvilov and Puel [106] and Lebeau and Robbiano [151, 152]).
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© 2009 Birkhäuser Verlag AG
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(2009). Appendix IV: Unique Continuation for Elliptic Operators. In: Observation and Control for Operator Semigroups. Birkhäuser Advanced Texts / Basler Lehrbücher. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8994-9_15
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DOI: https://doi.org/10.1007/978-3-7643-8994-9_15
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8993-2
Online ISBN: 978-3-7643-8994-9
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