Localization of solutions to stochastic porous media equations: finite speed of propagation

Barbu V, Röckner M (2012)
Electronic Journal of Probability 17: 10.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Barbu, Viorel; Röckner, MichaelUniBi
Abstract / Bemerkung
It is proved that the solutions to the slow diffusion stochastic porous media equation dX - Delta (vertical bar X vertical bar(m-1) X)dt = sigma(X)dW(t), 1 < m <= 5, in O subset of R-d, d = 1, 2, 3, have the property of finite speed of propagation of disturbances for P-a.s. omega is an element of Omega on a sufficiently small time interval (0, t (omega))
Stichworte
porous media equation; Wiener process; stochastic flow; energy method
Erscheinungsjahr
2012
Zeitschriftentitel
Electronic Journal of Probability
Band
17
Art.-Nr.
10
ISSN
1083-6489
Page URI
https://pub.uni-bielefeld.de/record/2489444

Zitieren

Barbu V, Röckner M. Localization of solutions to stochastic porous media equations: finite speed of propagation. Electronic Journal of Probability. 2012;17: 10.
Barbu, V., & Röckner, M. (2012). Localization of solutions to stochastic porous media equations: finite speed of propagation. Electronic Journal of Probability, 17, 10. doi:10.1214/EJP.v17-1768
Barbu, V., and Röckner, M. (2012). Localization of solutions to stochastic porous media equations: finite speed of propagation. Electronic Journal of Probability 17:10.
Barbu, V., & Röckner, M., 2012. Localization of solutions to stochastic porous media equations: finite speed of propagation. Electronic Journal of Probability, 17: 10.
V. Barbu and M. Röckner, “Localization of solutions to stochastic porous media equations: finite speed of propagation”, Electronic Journal of Probability, vol. 17, 2012, : 10.
Barbu, V., Röckner, M.: Localization of solutions to stochastic porous media equations: finite speed of propagation. Electronic Journal of Probability. 17, : 10 (2012).
Barbu, Viorel, and Röckner, Michael. “Localization of solutions to stochastic porous media equations: finite speed of propagation”. Electronic Journal of Probability 17 (2012): 10.

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