6 citations · 13 across the 7 of their papers we have counts for
8 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…
Maximal Regularity for Non-Autonomous Evolutionary Equations
Sascha Trostorff, Marcus Waurick
We discuss the issue of maximal regularity for evolutionary equations with non-autonomous coefficients. Here evolutionary equations are abstract partial-differential algebraic equa…
Evolutionary Equations
Christian Seifert, Sascha Trostorff, Marcus Waurick
This is the final version of the lecture notes of the 23rd Internet Seminar on Evolutionary Equations, see also https://www.mat.tuhh.de/isem23/.
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…
Exponential Stability and Initial Value Problems for Evolutionary Equations
Sascha Trostorff
In this thesis we consider so-called linear evolutionary problems, a class of linear partial differential equations covering classical elliptic, parabolic and hyperbolic equations…