On weighted Poincaré inequalities

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A robust two-level domain decomposition preconditioner for systems of PDEs (2011, unknown): “= ∅ , the following holds In addition for any D ⊂ Ω and any v ∈ V h ( D ) , let (cid:12) v (cid:12) 2 a , D = a D ( v , v ) .”
Maximal Function Methods for Sobolev Spaces (2021, background): “Translation editor: Leon Ehrenpreis, Academic Press, New York-London, 1968. MR0244627 [254] N. S. Landkof, Foundations of modern potential theory, Springer-Verlag, New YorkHeidelberg, 1972. Translated from the Russian by A. P. Doohovskoy, Die Grundlehren der mathematischen Wissenschaften, Band 180. ”
Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincar\'e inequalities (2012, background): “For analogous theory in less regular domains we refer to [32].”
Harnack inequalities on weighted graphs and some applications to the random conductance model (2013, methodology): “[21] B. Dyda and M. Kassmann.”
Simultaneous FETI and block FETI: Robust domain decomposition with multiple search directions (2015, background): “Poincare inequalities [42], allows to discriminate between jumps in the coefficients which will affect convergence and those that will not.”