Existence of Nonlinear Fokker-Planck Flows
Barbu V, Röckner M (2024)
In: Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Morel J-M, Tong K, Teissier B (Eds); Lecture Notes in Mathematics, 2353. Cham: Springer : 13-122.
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| Veröffentlicht | Englisch
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Autor*in
Barbu, Viorel;
Röckner, MichaelUniBi
Herausgeber*in
Morel, Jean-Michel;
Tong, Kowloon;
Teissier, Bernard
Einrichtung
Abstract / Bemerkung
This chapter presents the core of existence and uniqueness theory for mild and distributional solutions to the Cauchy problem for nonlinear Fokker-Planck equations under different hypotheses on diffusion terms and drift. In particular, one derives via the superposition principle, existence and uniqueness results for probabilistically weak solutions and strong solutions to McKean-Vlasov equations.
Erscheinungsjahr
2024
Buchtitel
Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts
Serientitel
Lecture Notes in Mathematics
Band
2353
Seite(n)
13-122
ISBN
978-3-031-61733-1,
978-3-031-61734-8
ISSN
0075-8434
eISSN
1617-9692
Page URI
https://pub.uni-bielefeld.de/record/2993899
Zitieren
Barbu V, Röckner M. Existence of Nonlinear Fokker-Planck Flows. In: Morel J-M, Tong K, Teissier B, eds. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. Vol 2353. Cham: Springer ; 2024: 13-122.
Barbu, V., & Röckner, M. (2024). Existence of Nonlinear Fokker-Planck Flows. In J. - M. Morel, K. Tong, & B. Teissier (Eds.), Lecture Notes in Mathematics: Vol. 2353. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (pp. 13-122). Cham: Springer . https://doi.org/10.1007/978-3-031-61734-8_2
Barbu, Viorel, and Röckner, Michael. 2024. “Existence of Nonlinear Fokker-Planck Flows”. In Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, ed. Jean-Michel Morel, Kowloon Tong, and Bernard Teissier, 2353:13-122. Lecture Notes in Mathematics. Cham: Springer .
Barbu, V., and Röckner, M. (2024). “Existence of Nonlinear Fokker-Planck Flows” in Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, Morel, J. - M., Tong, K., and Teissier, B. eds. Lecture Notes in Mathematics, vol. 2353, (Cham: Springer ), 13-122.
Barbu, V., & Röckner, M., 2024. Existence of Nonlinear Fokker-Planck Flows. In J. - M. Morel, K. Tong, & B. Teissier, eds. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. no.2353 Cham: Springer , pp. 13-122.
V. Barbu and M. Röckner, “Existence of Nonlinear Fokker-Planck Flows”, Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, J.-M. Morel, K. Tong, and B. Teissier, eds., Lecture Notes in Mathematics, vol. 2353, Cham: Springer , 2024, pp.13-122.
Barbu, V., Röckner, M.: Existence of Nonlinear Fokker-Planck Flows. In: Morel, J.-M., Tong, K., and Teissier, B. (eds.) Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. 2353, p. 13-122. Springer , Cham (2024).
Barbu, Viorel, and Röckner, Michael. “Existence of Nonlinear Fokker-Planck Flows”. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Ed. Jean-Michel Morel, Kowloon Tong, and Bernard Teissier. Cham: Springer , 2024.Vol. 2353. Lecture Notes in Mathematics. 13-122.
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