D. Pauly

activity

20112022

most citedMaxwell meets Korn: A New Coercive Inequality for Tensor Fields with Square-Integrable Exterior Derivative

49 citations · 174 across the 33 of their papers we have counts for

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Showing 2017 · math.APShow all

2 papers · 2 filters

math.AP2017

A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains and a Corresponding Generalized $A_{0}^{*}$ - $A_{1}$ -Lemma in Hilbert Spaces

Dirk Pauly

We prove global and local versions of the so-called div-curl-lemma, a crucial result in the homogenization theory of partial differential equations, for mixed boundary conditions o…

math.AP2017

On the Maxwell and Friedrichs/Poincare Constants in ND

Dirk Pauly

We prove that for bounded and convex domains in arbitrary dimensions, the Maxwell constants are bounded from below and above by Friedrichs' and Poincare's constants, respectively.…

A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains and a Corresponding Generalized A0∗​-A1​-Lemma in Hilbert Spaces

On the Maxwell and Friedrichs/Poincare Constants in ND

A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains and a Corresponding Generalized $A_{0}^{*}$ - $A_{1}$ -Lemma in Hilbert Spaces