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arXiv · 1209.3388

Uniqueness of integrable solutions to first order systems with integrable tensor-coefficients and applications to elasticity

Johannes Lankeit·Patrizio Neff·Dirk Pauly
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Abstract

For a Lipschitz domain we show that solutions of certain first order systems are unique. This result is then applied to prove a crucial step for showing Korn's first inequality as well as to prove the 'infinitesimal rigid displacement lemma in curvilinear coordinates'.

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Johannes Lankeit, Patrizio Neff, Dirk Pauly. 2012-09-15. Uniqueness of integrable solutions to first order systems with integrable tensor-coefficients and applications to elasticity. https://doi.org/10.1007/s00033-013-0314-4

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