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Unique continuation for systems with Lamé principal part
Author(s) -
Weck Norbert
Publication year - 2001
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.231
Subject(s) - continuation , mathematics , generalization , principal part , isotropy , context (archaeology) , elasticity (physics) , principal (computer security) , calculus (dental) , mathematical analysis , mathematical economics , pure mathematics , algebra over a field , computer science , medicine , paleontology , physics , materials science , dentistry , quantum mechanics , composite material , biology , programming language , operating system
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.