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A new proof of compactness in G(S)BD

Published 27 Apr 2021 in math.AP | (2104.13141v2)

Abstract: We prove a compactness result in GBD which also provides a new proof of the compactness theorem in GSBD, due to Chambolle and Crismale [5, Theorem 1.1]. Our proof is based on a Fr\'echet-Kolmogorov compactness criterion and does not rely on Korn or Poincar\'e-Korn inequalities.

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