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V. Bogachev, G. Prato, M. Röckner (2009)
Fokker–Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spacesJournal of Functional Analysis, 256
V. Bogachev, G. Prato, M. Röckner (2008)
Parabolic equations for measures on infinite-dimensional spacesDoklady Mathematics, 78
V. Bogachev, M. Röckner (2001)
Elliptic equations for measures on infinite dimensional spaces and applicationsProbability Theory and Related Fields, 120
G. Prato (2004)
Kolmogorov Equations For Stochastic Pdes
L. Manca (2009)
Kolmogorov Operators in Spaces of Continuous Functions and Equations for Measures
V. Bogachev, G. Prato, M. Röckner, W. Stannat (2007)
Uniqueness of solutions to weak parabolic equations for measuresBulletin of the London Mathematical Society, 39
V. Bogachev, G. Prato, M. Röckner (2004)
Existence of Solutions To Weak Parabolic Equations For MeasuresProceedings of the London Mathematical Society, 88
V. Bogachev, G. Prato, M. Röckner (2008)
On Parabolic Equations for MeasuresCommunications in Partial Differential Equations, 33
V. Bogachev, G. Prato, M. Röckner (2002)
On weak parabolic equations for probability measuresDoklady Mathematics, 66
L. Manca (2007)
Kolmogorov equations for measuresJournal of Evolution Equations, 8
[We consider a stochastic differential equation in a Hilbert space with time-dependent coefficients for which no general existence result is known. We prove, under suitable assumptions, existence of a measure-valued solution, for the corresponding Fokker–Planck equation.]
Published: Feb 4, 2011
Keywords: Kolmogorov operators; stochastic PDEs; parabolic equations for measures; Fokker–Planck equations
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