In this paper we develop a new technique to prove existence of solutions of Fokker–Planck equations on Hilbert spaces for Kolmogorov operators with non-trace-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.

Fokker-Planck equations for SPDE with non-trace-class noise

Da Prato, G.;Flandoli, F.;
2013

Abstract

In this paper we develop a new technique to prove existence of solutions of Fokker–Planck equations on Hilbert spaces for Kolmogorov operators with non-trace-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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/69108
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