11 citations · 21 across the 23 of their papers we have counts for
4 papers · 1 filter
On higher index differential-algebraic equations in infinite dimensions
Sascha Trostorff, Marcus Waurick
We consider initial value problems for differential-algebraic equations in a possibly infinite-dimensional Hilbert space. Assuming a growth condition for the associated operator pe…
On Differential-Algebraic Equations in Infinite Dimensions
Sascha Trostorff, Marcus Waurick
We consider a class of differential-algebraic equations (DAEs) with index zero in an infinite dimensional Hilbert space. We define a space of consistent initial values, which lead…
Resolvent estimates in homogenisation of periodic problems of fractional elasticity
Kirill Cherednichenko, Marcus Waurick
We provide operator-norm convergence estimates for solutions to a time-dependent equation of fractional elasticity in one spatial dimension, with rapidly oscillating coefficients t…
Fibre Homogenisation
Shane Cooper, Marcus Waurick
In this article we present a novel method for studying the asymptotic behaviour, with order-sharp error estimates, of the resolvents of parameter-dependent operator families. The m…