A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces

Dieckmann M (2022)
Journal of Evolution Equations 22(2): 55.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We prove a version of the Ambrosio-Figalli-Trevisan superposition principle for a restricted subclass of solutions to the Fokker-Planck-Kolmogorov equation that is valid on separable infinite-dimensional Hilbert spaces. Furthermore, we transfer this restricted superposition principle into a nonlinear setting.
Stichworte
Fokker-Planck-Kolmogorov equation; Superposition principle; Martingale; problem; Galerkin approximations; Stochastic Navier-Stokes equation
Erscheinungsjahr
2022
Zeitschriftentitel
Journal of Evolution Equations
Band
22
Ausgabe
2
Art.-Nr.
55
ISSN
1424-3199
eISSN
1424-3202
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2964050

Zitieren

Dieckmann M. A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces. Journal of Evolution Equations. 2022;22(2): 55.
Dieckmann, M. (2022). A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces. Journal of Evolution Equations, 22(2), 55. https://doi.org/10.1007/s00028-022-00807-5
Dieckmann, Martin. 2022. “A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces”. Journal of Evolution Equations 22 (2): 55.
Dieckmann, M. (2022). A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces. Journal of Evolution Equations 22:55.
Dieckmann, M., 2022. A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces. Journal of Evolution Equations, 22(2): 55.
M. Dieckmann, “A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces”, Journal of Evolution Equations, vol. 22, 2022, : 55.
Dieckmann, M.: A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces. Journal of Evolution Equations. 22, : 55 (2022).
Dieckmann, Martin. “A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces”. Journal of Evolution Equations 22.2 (2022): 55.
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2023-12-06T08:54:34Z
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