Unique continuation for systems with Lamé principal part | Zendy

Weck Norbert | Zendy

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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

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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