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17 papers · 1 filter
Energy Bounds for a Compressed Elastic Film on a Substrate
David P. Bourne, Sergio Conti, Stefan Müller
We study pattern formation in a compressed elastic film which delaminates from a substrate. Our key tool is the determination of rigorous upper and lower bounds on the minimum valu…
Fourientation activities and the Tutte polynomial
Spencer Backman, Sam Hopkins, Lorenzo Traldi
A fourientation of a graph is a choice for each edge of the graph whether to orient that edge in either direction, leave it unoriented, or biorient it. We may naturally view fo…
Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube
Van Kien Nguyen, Mario Ullrich, Tino Ullrich
In a recent article by two of the present authors it turned out that Frolov's cubature formulae are optimal and universal for various settings (Besov-Triebel-Lizorkin spaces) of fu…
Lower bounds for Haar projections: deterministic examples
Andreas Seeger, Tino Ullrich
In a previous paper by the authors the existence of Haar projections with growing norms in Sobolev-Triebel-Lizorkin spaces has been shown via a probabilistic argument. This existen…
Hyperboloidal evolution and global dynamics for the focusing cubic wave equation
Annegret Y. Burtscher, Roland Donninger
The focusing cubic wave equation in three spatial dimensions has the explicit solution . We study the stability of the blowup described by this solution as wi…
Representations of integers by systems of three quadratic forms
Lillian B. Pierce, Damaris Schindler, Melanie Matchett Wood
It is classically known that the circle method produces an asymptotic for the number of representations of a tuple of integers by a system of quadratic forms $Q_…