1 citations · 2 across the 8 of their papers we have counts for
9 papers
Rough path theory and an introduction to rough partial differential equations
Stefan Tappe
The goal of these notes is to provide an introduction to rough partial differential equations. For this purpose, we will present the theory of rough paths to the extend as it is re…
Stochastic invariance in infinite dimension beyond Lipschitz coefficients
Eduardo Abi Jaber, Stefan Tappe
We establish necessary and sufficient conditions for stochastic invariance of closed subsets in Hilbert spaces for solutions to infinite-dimensional stochastic differential equatio…
Stochastic Passivity in Stochastic Differential Equations: A Port-Hamiltonian Perspective
Julia Ackermann, Thomas Kruse, Stefan Tappe
We extend deterministic port-Hamiltonian systems (PHS) to a stochastic framework by means of stochastic differential equations. As the dissipation inequality plays a crucial role f…
Square Root Operators and the Well-Posedness of Pseudodifferential Parabolic Models of Wave Phenomena
Matthias Ehrhardt, Jochen Glück, Pavel Petrov +1
Pseudodifferential parabolic equations with an operator square root arise in wave propagation problems as a one-way counterpart of the Helmholtz equation. The expression under the…
Mild solutions to semilinear rough partial differential equations
Stefan Tappe
We provide an existence and uniqueness result for mild solutions to rough partial differential equations in the framework of the semigroup approach. Applications to stochastic part…
Invariant submanifolds for solutions to rough differential equations
Stefan Tappe
In this paper we provide necessary and sufficient conditions for invariance of finite dimensional submanifolds for rough differential equations (RDEs) with values in a Banach space…
A note on invariant manifolds for stochastic partial differential equations in the framework of the variational approach
Rajeev Bhaskaran, Stefan Tappe
In this note we provide conditions for local invariance of finite dimensional submanifolds for solutions to stochastic partial differential equations (SPDEs) in the framework of th…
Mild solutions to semilinear stochastic partial differential equations with locally monotone coefficients
Stefan Tappe
We provide an existence and uniqueness result for mild solutions to semilinear stochastic partial differential equations in the framework of the semigroup approach with locally mon…
Existence of affine realizations for stochastic partial differential equations driven by Lévy processes
Stefan Tappe
The goal of this paper is to clarify when a semilinear stochastic partial differential equation driven by Lévy processes admits an affine realization. Our results are accompanied b…