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Mathematische Annalen

, Volume 353, Issue 4, pp 1157–1181 | Cite as

Quantitative uniqueness for elliptic equations with singular lower order terms

  • E. Malinnikova
  • S. Vessella
Article

Abstract

We use a Carleman type inequality of Koch and Tataru to obtain quantitative estimates of unique continuation for solutions of second-order elliptic equations with singular lower order terms. First we prove a three sphere inequality and then describe two methods of propagation of smallness from sets of positive measure.

Mathematics Subject Classification (2000)

35J15 35B35 

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway
  2. 2.Dipartimento di Matematica per le DecisioniUniversità degli StudiFlorenceItaly

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