Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 137)
Unique Continuation Problems for Partial Differential Equations
- Cite this paper as:
- 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
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.
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© Springer-Verlag New York, Inc. 2004