Elliptic equations for infinite dimensional probability distributions and Lyapunov functions
Bogachev V, Röckner M (1999)
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329(8): 705-710.
Zeitschriftenaufsatz
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Autor*in
Bogachev, Vladimir;
Röckner, MichaelUniBi
Einrichtung
Abstract / Bemerkung
A new concept of a weak elliptic equation for probability distributions on infinite dimensional spaces is introduced. A suitable notion of a Lyapunov function is defined for weak elliptic equations. Sufficient conditions in terms of Lyapunov functions are given for the existence of solutions for weak elliptic equations. Applications to Gibbs measures are discussed. (C) 1999 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
Erscheinungsjahr
1999
Zeitschriftentitel
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
Band
329
Ausgabe
8
Seite(n)
705-710
ISSN
0764-4442
Page URI
https://pub.uni-bielefeld.de/record/1621467
Zitieren
Bogachev V, Röckner M. Elliptic equations for infinite dimensional probability distributions and Lyapunov functions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 1999;329(8):705-710.
Bogachev, V., & Röckner, M. (1999). Elliptic equations for infinite dimensional probability distributions and Lyapunov functions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 329(8), 705-710. https://doi.org/10.1016/S0764-4442(00)88221-X
Bogachev, Vladimir, and Röckner, Michael. 1999. “Elliptic equations for infinite dimensional probability distributions and Lyapunov functions”. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329 (8): 705-710.
Bogachev, V., and Röckner, M. (1999). Elliptic equations for infinite dimensional probability distributions and Lyapunov functions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329, 705-710.
Bogachev, V., & Röckner, M., 1999. Elliptic equations for infinite dimensional probability distributions and Lyapunov functions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 329(8), p 705-710.
V. Bogachev and M. Röckner, “Elliptic equations for infinite dimensional probability distributions and Lyapunov functions”, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 329, 1999, pp. 705-710.
Bogachev, V., Röckner, M.: Elliptic equations for infinite dimensional probability distributions and Lyapunov functions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 329, 705-710 (1999).
Bogachev, Vladimir, and Röckner, Michael. “Elliptic equations for infinite dimensional probability distributions and Lyapunov functions”. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329.8 (1999): 705-710.
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