On the characterizations of matrix fields as linearized strain tensor fields

By Chérif Amrouche, Philippe G. Ciarlet, L. Gratie, S. Kesavan. 2006

76 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0016fe48e3d26210846399c8796709189077f1b3

Citations in the corpus

• On a lemma of Jacques-Louis Lions and its relation to other fundamental results (2015, unknown): “14-1 in [15], it also provides a short proof of Nečas inequality, which in turn provides short proofs of the surjectivity of the operator div : H(1)0(Ω) → L(2)0(Ω) and of a “coarse” version of de Rham’s theorem, asserting that a vector-valued distribution h ∈ H−1(Ω) is the gradient of a scalar funct”