116 citations · 143 across the 4 of their papers we have counts for
5 papers
Abstract boundary delay systems and application to network flow
András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi
This paper investigates the well-posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and alon…
PDE approximation of large systems of differential equations
András Bátkai, Ágnes Havasi, Róbert Horváth +2
A large system of ordinary differential equations is approximated by a parabolic partial differential equation with dynamic boundary condition and a different one with Robin bounda…
Semigroups and linear partial differential equations with delay
András Bátkai, Susanna Piazzera
We prove the equivalence of the well-posedness of a partial differential equation with delay and an associated abstract Cauchy problem. This is used to derive sufficient conditions…
Operator splitting with spatial-temporal discretization
András Bátkai, Petra Csomós, Bálint Farkas +1
Continuing earlier investigations, we analyze the convergence of operator splitting procedures combined with spatial discretization and rational approximations.
Operator splitting for non-autonomous evolution equations
András Bátkai, Petra Csomós, Bálint Farkas +1
We provide general product formulas for the solutions of non-autonomous abstract Cauchy problems. The main technical tool is the application of evolution semigroup methods, allowin…