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Unique continuation for systems with Lamé principal part

✍ Scribed by Norbert Weck

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
100 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We generalize a result concerning unique continuation for the system of linearized isotropic elasticity by admitting first‐order perturbations. The proof is based on elementary weighted L^2^‐inequalities. Furthermore, we extend our result to a generalization of the Lamé system in the context of alternating differential forms. Copyright © 2001 John Wiley & Sons, Ltd.

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## Abstract Let __P__(__ω__, ∇) be an elliptic operator with weight __ω__, and let __u__ be a solution in some Lipschitz domains to −__P__(__ω__, ∇__u__)+__W__∇__u__+__Vu__=0 with sharp singular potentials __W__ and __V__. The weighted doubling estimates, the weighted three‐ball inequalities and th