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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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math.AP2022

Hilbert Complexes with Mixed Boundary Conditions -- Part 3: Biharmonic Complexes

Dirk Pauly, Michael Schomburg

We show that the biharmonic Hilbert complex with mixed boundary conditions on bounded strong Lipschitz domains is closed and compact. The crucial results are compact embeddings whi…

math.FA2022

Traces for Hilbert Complexes

Ralf Hiptmair, Dirk Pauly, Erick Schulz

We study a new notion of trace operators and trace spaces for abstract Hilbert complexes. We introduce trace spaces as quotient spaces/annihilators. We characterize the kernels and…