Special Session 111: Evolution Equations and Operator Semigroups: Theory and Applications

Perturbations of non-autonomous second-order abstract Cauchy problems
Christian Budde
University of the Free State
So Africa
Co-Author(s):    Christian Seifert
Abstract:
We present time-dependent perturbations of second-order non-autonomous abstract Cauchy problems associated to a family of operators with constant domain. We make use of the equivalence to a first-order non-autonomous abstract Cauchy problem in a product space, which we elaborate in full detail. As an application we provide a perturbed non-autonomous wave equation.