6 citations · 7 across the 6 of their papers we have counts for
6 papers · 1 filter
Dynamic First Order Wave Systems with Drift Term on Riemannian Manifolds
Rainer Picard, Sascha Trostorff
An abstract first order differential equation of hyperbolic type with drift term on a Riemannian manifold is considered. For proving its well-posedness, transmutator and commutator…
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…
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 Maximal Regularity for a Class of Evolutionary Equations
Rainer Picard, Sascha Trostorff, Marcus Waurick
The issue of so-called maximal regularity is discussed within a Hilbert space framework for a class of evolutionary equations. Viewing evolutionary equations as a sums of two unbou…
On Non-Autonomous Evolutionary Problems
Rainer Picard, Sascha Trostorff, Marcus Waurick +1
The paper extends well-posedness results of a previously explored class of time-shift invariant evolutionary problems to the case of non-autonomous media. The Hilbert space setting…
A Note on Fractional Evolutionary Equations
Rainer Picard
A class of linear evolutionary equations with material laws involving fractional time-derivatives is considered. The main result is well-posedness and causality for this problem cl…