On weighted Poincar\'e inequalities

By Bartłomiej Dyda, M. Kassmann. 2012

47 citations recorded by the source corpus.

The aim of this note is to show that Poincar\'e inequalities imply corresponding weighted versions in a quite general setting. Fractional Poincar\'e inequalities are considered, too. The proof is short and does not involve covering arguments.

View Paper: https://www.semanticscholar.org/paper/a7a6e6cb110ea87c2b56826cae49b3e51f34cc62

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1. Pierre Gosselet
2. François-Xavier Roux
3. Nicole Spillane
4. Daniel J. Rixen
5. S. Voormeeren
6. Fabian M. Gruber
7. Oliver Weeger
8. Damijan Markovic

Citations in the corpus

• Simultaneous FETI and block FETI: Robust domain decomposition with multiple search directions (2015, background): “Within a class of coefficient distributions, the theory, which is based on weighted Poincare inequalities [42], allows to discriminate between jumps in the coefficients which will affect convergence and those that will not.”