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On Korn's First Inequality for Tangential or Normal Boundary Conditions with Explicit Constants

Analysis of PDEs 2016-12-21 v5 Mathematical Physics math.MP

Abstract

We will prove that for piecewise smooth and concave domains Korn's first inequality holds for vector fields satisfying homogeneous normal or tangential boundary conditions with explicit Korn constant square root of 2.

Keywords

Cite

@article{arxiv.1503.07419,
  title  = {On Korn's First Inequality for Tangential or Normal Boundary Conditions with Explicit Constants},
  author = {Sebastian Bauer and Dirk Pauly},
  journal= {arXiv preprint arXiv:1503.07419},
  year   = {2016}
}

Comments

Korn inequality, tangential and normal boundary conditions, Boltzmann equation