OS Stochastische Analysis Detailseite Kalender

Vortragende Person/Vortragende Personen:
Prof. Dr. Stefanie Sonner (Radboud University Nijmegen)

Abstract: We investigate the longtime behavior of stochastic parabolic partial differential equations with additive noise where the differential operators depend on time and the underlying probability space. In particular, we prove the existence of global and exponential random attractors and derive estimates on their fractal dimension. To apply the framework of random dynamical systems we use the recent concept of pathwise mild solutions which yields pathwise representations for the solutions. Our approach is different from the classical one where stochastic evolution equations are transformed into partial differential equations with random coefficients via the stationary Ornstein-Uhlenbeck process. This is joint work with C. Kuehn and A. Neamtu.