Unique Continuation Problems for Partial Differential Equations

  • Daniel Tataru
Conference paper

DOI: 10.1007/978-1-4684-9375-7_8

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 137)
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

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.

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Copyright information

© Springer-Verlag New York, Inc. 2004

Authors and Affiliations

  • Daniel Tataru
    • 1
  1. 1.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA

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