30 citations · 376 across the 49 of their papers we have counts for
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math.RT2019★ 2 cited
On Sobolev norms for Lie group representations
Heiko Gimperlein, Bernhard Krötz
We define Sobolev norms of arbitrary real order for a Banach representation of a Lie group, with regard to a single differential operator . Here, is a Lap…
math.AP2019★ 2 cited
Macroscopic descriptions of follower-leader systems
Sara Bernardi, Gissell Estrada-Rodriguez, Heiko Gimperlein +1
The fundamental derivation of macroscopic model equations to describe swarms based on microscopic movement laws and mathematical analyses into their self-organisation capabilities…
math.NA2019★ 12 cited
Optimal operator preconditioning for pseudodifferential boundary problems
Heiko Gimperlein, Jakub Stocek, Carolina Urzua-Torres
We propose an operator preconditioner for general elliptic pseudodifferential equations in a domain , where is either in or in a Riemannian manifold. For line…