Proceedings of the American Mathematical Society

Author(s): L. Escauriaza
Journal: Proc. Amer. Math. Soc. 134 (2006), 2015-2018.
MSC (2000): Primary 35J45; Secondary 35B60
Posted: December 19, 2005
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35J45, 35B60

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

DOI: 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
Posted: 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
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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