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Characterization of anisotropic high order Sobolev spaces

Analysis of PDEs 2018-09-07 v2

Abstract

We establish two types of characterizations for high order anisotropic Sobolev spaces. In particular, we prove high order anisotropic versions of Bourgain-Brezis- Mironescu's formula and Nguyen's formula.

Keywords

Cite

@article{arxiv.1805.09230,
  title  = {Characterization of anisotropic high order Sobolev spaces},
  author = {Nguyen Lam and Ali Maalaoui and Andrea Pinamonti},
  journal= {arXiv preprint arXiv:1805.09230},
  year   = {2018}
}

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18 pages