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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Unique continuation for the system of elasticity in the plane


Author: L. Escauriaza
Journal: Proc. Amer. Math. Soc. 134 (2006), 2015-2018
MSC (2000): Primary 35J45; Secondary 35B60
Published electronically: December 19, 2005
MathSciNet review: 2215770
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Abstract: We prove the strong unique continuation property for the Lamé system of elastostatics in the plane, $ \nabla\cdot\left(\mu\left (\nabla u+\nabla u^t \right) \right)+\nabla\left(\lambda\nabla\cdot u\right)=0$, with variable Lamé coefficients $ \mu$, $ \lambda$, when $ \mu$ is Lipschitz and $ \lambda$ is measurable.


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Additional Information

L. Escauriaza
Affiliation: Departamento de Matematicas, Universidad del País Vasco / Euskal Herriko Unibertsitatea, Apartado 644, 48080 Bilbao, Spain
Email: mtpeszul@lg.ehu.es

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08413-3
PII: S 0002-9939(05)08413-3
Keywords: Unique continuation, elasticity
Received by editor(s): December 7, 2004
Received by editor(s) in revised form: February 9, 2005
Published electronically: December 19, 2005
Additional Notes: The author was supported by MEC grant MTM2004-03029 and by the European Commission via the network Harmonic Analysis and Related Problems, project number RTN2-2001-00315.
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.