Abstract
The aim of this article is to give an overview of the main problems and results in unique continuation. Broadly speaking, an unique continuation result is any statement of the following type:
Given a linear partial differential operator P and two regions A C B, a solution u to Pu = 0 is uniquely determined in the larger set B by its values (behavior) in the smaller set A.
Research partially supported by NSF grant DMS-9622942.
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Tataru, D. (2004). Unique Continuation Problems for Partial Differential Equations. In: Croke, C.B., Vogelius, M.S., Uhlmann, G., Lasiecka, I. (eds) Geometric Methods in Inverse Problems and PDE Control. The IMA Volumes in Mathematics and its Applications, vol 137. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9375-7_8
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DOI: https://doi.org/10.1007/978-1-4684-9375-7_8
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