11 citations · 21 across the 23 of their papers we have counts for
4 papers · 1 filter
A Hilbert space approach to fractional differential equations
Kai Diethelm, Konrad Kitzing, Rainer Picard +3
We study fractional differential equations of Riemann-Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on , we defi…
Two-scale homogenization of abstract linear time-dependent PDEs
Stefan Neukamm, Mario Varga, Marcus Waurick
Many time-dependent linear partial differential equations of mathematical physics and continuum mechanics can be phrased in the form of an abstract evolutionary system defined on a…
Nonlocal homogenisation theory for curl-div-systems
Serge Nicaise, Marcus Waurick
We study the curl-div-system with variable coefficients and a nonlocal homogenisation problem associated with it. Using, in part refining, techniques from nonlocal -convergence…
Homogenisation and the Weak Operator Topology
Marcus Waurick
This article surveys results that relate homogenisation problems for partial differential equations and convergence in the weak operator topology of a suitable choice of linear ope…