22 citations · 145 across the 64 of their papers we have counts for
80 papers
Revisiting Picard's proof of the Picard--Weber--Weck selection theorem
Yi-Sheng Lim, Timo Sprekeler, Marcus Waurick
Revisiting the rationale provided by Picard in the seminal paper [13], we provide an independent, self-contained proof of the Maxwell compactness property for weak Lipschitz domain…
Nonlinear Media via Nonlocal Homogenisation
Andreas Buchinger, Nathanael Skrepek, Marcus Waurick
We consider a nonlinear PDE describing a nonlinear electrostatic medium with nonlocal dielectricity. The existence proof for the corresponding equation is based on Schauder's theor…
The Free Lunch Theorem of Homogenisation
Andreas Buchinger, Marianna Porfido, Marcus Waurick
We show that H-convergence for multiplication type operators as envisioned by Murat and Tartar in the 1970's always implies nonlocal H-convergence as introduced in 2018 in Calc.~Va…
An Elementary Perspective on the Dirac Equation and its Closest Relatives
Rainer Picard, Sascha Trostorff, Marcus Waurick
We consider the Dirac equation in a real setting to show its close relationship to Maxwell's equation. In addition to analysing the classical Dirac mass term, we also inspect the a…
Avscon the Schur topology
Andreas Buchinger, Marcus Waurick
The aim of the course is to lead to an understanding of homogenisation processes in an operator-theoretic sense. In fact, using solely operator-theoretic means not referring to the…
Block operator matrix techniques for stability properties of hyperbolic equations
Marcus Waurick
Inspired by recent developments in the theory of stability results in the context of certain wave type phenomena, we discuss abstract damped hyperbolic type equations given in a bl…