English

A new proof of compactness in G(S)BD

Analysis of PDEs 2021-11-22 v2

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.

Keywords

Cite

@article{arxiv.2104.13141,
  title  = {A new proof of compactness in G(S)BD},
  author = {Stefano Almi and Emanuele Tasso},
  journal= {arXiv preprint arXiv:2104.13141},
  year   = {2021}
}