Uniqueness of diffusion generators for two types of particle systems with singular interactions

Kondratiev Y, Konstantinov AY, Röckner M (2004)
JOURNAL OF FUNCTIONAL ANALYSIS 212(2): 357-372.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Abstract / Bemerkung
For two types of stochastic particle systems in R-d we show non-explosion in finite time by proving that their respective generators are L-1(mu)-unique, where mu is their respective invariant (in these cases even symmetrizing) measure. We also prove the much harder L-2(mu)-uniqueness in both models. (C) 2004 Elsevier Inc. All rights reserved.
Erscheinungsjahr
Zeitschriftentitel
JOURNAL OF FUNCTIONAL ANALYSIS
Band
212
Ausgabe
2
Seite(n)
357-372
ISSN
PUB-ID

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Kondratiev Y, Konstantinov AY, Röckner M. Uniqueness of diffusion generators for two types of particle systems with singular interactions. JOURNAL OF FUNCTIONAL ANALYSIS. 2004;212(2):357-372.
Kondratiev, Y., Konstantinov, A. Y., & Röckner, M. (2004). Uniqueness of diffusion generators for two types of particle systems with singular interactions. JOURNAL OF FUNCTIONAL ANALYSIS, 212(2), 357-372. doi:10.1016/j.jfa.2004.03.012
Kondratiev, Y., Konstantinov, A. Y., and Röckner, M. (2004). Uniqueness of diffusion generators for two types of particle systems with singular interactions. JOURNAL OF FUNCTIONAL ANALYSIS 212, 357-372.
Kondratiev, Y., Konstantinov, A.Y., & Röckner, M., 2004. Uniqueness of diffusion generators for two types of particle systems with singular interactions. JOURNAL OF FUNCTIONAL ANALYSIS, 212(2), p 357-372.
Y. Kondratiev, A.Y. Konstantinov, and M. Röckner, “Uniqueness of diffusion generators for two types of particle systems with singular interactions”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 212, 2004, pp. 357-372.
Kondratiev, Y., Konstantinov, A.Y., Röckner, M.: Uniqueness of diffusion generators for two types of particle systems with singular interactions. JOURNAL OF FUNCTIONAL ANALYSIS. 212, 357-372 (2004).
Kondratiev, Yuri, Konstantinov, AY, and Röckner, Michael. “Uniqueness of diffusion generators for two types of particle systems with singular interactions”. JOURNAL OF FUNCTIONAL ANALYSIS 212.2 (2004): 357-372.