In this paper we develop a new technique to prove existence of solutions of Fokker–Planck equations on Hilbert spaces for Kolmogorov operators with nontrace-class second order coefficients or equivalently with an ass...In this paper we develop a new technique to prove existence of solutions of Fokker–Planck equations on Hilbert spaces for Kolmogorov operators with nontrace-class second order coefficients or equivalently with an associated stochastic partial differential equation(SPDE)with non-trace-class noise.Applications include stochastic 2D and 3D-Navier–Stokes equations with non-trace-class additive noise.展开更多
基金Support by the De Giorgi Centre and the DFG through SFB 701 is gratefully acknowledged.The last named author would also like to thank the Scuola Normale Superiore and the University of Pisa for the support and hospitality during several very pleasant visits during which large parts of this work were done.
文摘In this paper we develop a new technique to prove existence of solutions of Fokker–Planck equations on Hilbert spaces for Kolmogorov operators with nontrace-class second order coefficients or equivalently with an associated stochastic partial differential equation(SPDE)with non-trace-class noise.Applications include stochastic 2D and 3D-Navier–Stokes equations with non-trace-class additive noise.
