22 citations · 58 across the 26 of their papers we have counts for
5 papers · 1 filter
On a Class of Degenerate Abstract Parabolic Problems and Applications to Some Eddy Current Models
Dirk Pauly, Rainer Picard, Sascha Trostorff +1
We present an abstract framework for parabolic type equations which possibly degenerate on certain spatial regions. The degeneracies are such that the equations under investigation…
A Hilbert space approach to difference equations
Konrad Kitzing, Rainer Picard, Stefan Siegmund +2
We consider general difference equations for on exponentially weighted spaces of two-sided Hilbert space valued sequences and dis…
On the Well-posedness of a Class of Non-Autonomous SPDEs: An Operator-Theoretical Perspective
Rainer Picard, Sascha Trostorff, Marcus Waurick
We further elaborate on the solvability of stochastic partial differential equations (SPDEs). We shall discuss non-autonomous partial differential equations with an abstract realiz…
On an Elasto-Acoustic Transmission Problem in Anisotropic, Inhomogeneous Media
Rainer Picard
We consider a coupled system describing the interaction between acoustic and elastic regions, where the coupling occurs not via material properties but through an interaction on an…
On an Electro-Magneto-Elasto-Dynamic Transmission Problem
Rainer Picard
We consider a coupled system describing the interaction between acoustic and elastic regions, where the coupling occurs not via material properties but through an interaction on an…