15 citations · 60 across the 9 of their papers we have counts for
11 papers
The Scholar-Priest and the Paradox of Service: Jozsef Sutak's Role in the Hungarian Mathematical Golden Age
Andras Batkai
This paper re-evaluates Jozsef Sutak (1865-1954), a Hungarian scholar-priest and professor, as a grey eminence rather than a genius, offering a counter-narrative to the history of…
Perturbations of Positive Semigroups on AM-Spaces
A. Bátkai, B. Jacob, J. Voigt +1
We consider positive perturbations of positive semigroups on AM-spaces and prove a result which is the dual counterpart of a famous perturbation result of Desch in AL-spaces. As an…
Hyperbolicity of linear partial differential equations with delay
András Bátkai
Robust hyperbolicity and stability results for linear partial differential equations with delay will be given and, as an application, the effect of small delays to the asymptotic p…
Stability and Convergence of Product Formulas for Operator Matrices
András Bátkai, Petra Csomós, Klaus-Jochen Engel +1
We present easy to verify conditions implying stability estimates for operator matrix splittings which ensure convergence of the associated Trotter, Strang and weighted product for…
Operator splitting for nonautonomous delay equations
András Bátkai, Petra Csomós, Bálint Farkas
We provide a general product formula for the solution of nonautonomous abstract delay equations. After having shown the convergence we obtain estimates on the order of convergence…
On shape preserving semigroups
András Bátkai, Adam Bobrowski
Motivated by positivity-, monotonicity-, and convexity preserving differential equations, we introduce a definition of shape preserving operator semigroups and analyze their fundam…
Differential equation approximations of stochastic network processes: an operator semigroup approach
András Bátkai, Istvan Z. Kiss, Eszter Sikolya +1
The rigorous linking of exact stochastic models to mean-field approximations is studied. Starting from the differential equation point of view the stochastic model is identified by…
Decomposition of operator semigroups on W*-algebras
András Bátkai, Ulrich Groh, Dávid Kunszenti-Kovács +1
We consider semigroups of operators on a W-algebra and prove, under appropriate assumptions, the existence of a Jacobs-DeLeeuw-Glicksberg type decomposition. This decomposition…
The norm convergence of a Magnus expansion method
András Bátkai, Eszter Sikolya
We consider numerical approximation to the solution of non-autonomous evolution equations. The order of convergence of the simplest possible Magnus method will be investigated.
Operator splitting for dissipative delay equations
András Bátkai, Petra Csomós, Bálint Farkas
We investigate Lie-Trotter product formulae for abstract nonlinear evolution equations with delay. Using results from the theory of nonlinear contraction semigroups in Hilbert spac…
Operator splittings and spatial approximations for evolution equations
András Bátkai, Petra Csomós, Gregor Nickel
The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation.…