English

A note on Poincar\'e- and Friedrichs-type inequalities

Analysis of PDEs 2023-01-19 v2

Abstract

We introduce a simple criterion to check coercivity of bilinear forms on subspaces of Hilbert-spaces and Banach-spaces. The presented criterion allows to derive many standard and non-standard variants of Poincar\'e- and Friedrichs-type inequalities with very little effort.

Keywords

Cite

@article{arxiv.1512.02842,
  title  = {A note on Poincar\'e- and Friedrichs-type inequalities},
  author = {Carsten Gräser},
  journal= {arXiv preprint arXiv:1512.02842},
  year   = {2023}
}
R2 v1 2026-06-22T12:05:11.769Z