Instability of certain equations differential stochastic non lineaires

Journal of Functional Analysis

Volumn 130, Issue 2, 1995, Pages 477-523

  Roynette, B ^a   Vallois, P ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040380413     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1006/jfan.1995.1078     Document Type: Article

References (11)

1. J. AZÉMA, T. JEULIN, F. KNIGHT, ET M. YOR, Le théorème d’arrêt en une fin d’ensemble optionnel, in “Séminaire de Probability XXVII,” Lectures Notes in Math., Vol. 1557, pp. 133-158, Springer-Verlag, New York, 1993.
2. R. M. BLUMENTHAL ET R. K. GETOOR, “Markov Process and Potential Theory,” Academic Press, New York, 1968.
3. K. L. CHUNG, Excursions in Brownian motion. Ark. Math. 14 (1976), 155-177.
4. M. ESCOBEDO, J. L. VASQUEZ, ET E. ZUAZUA, Asymptotic behavior and source-type solution for a diflusion-convection equation, Arch. Rational Mech. Anal. 124 (1993), 43-66.
5. xx, Comm. Pure Appl. Math. 13 (1950), 201-230.
6. T. P. Liu ET M. PIERRE, Source solutions and asymptotic behavior in conservative laws, J. Differential Equations 51 (1984), 419-441.
7. S. OGAWA, Monte Carlo simulation of nonlinear diffusion processes, Japan J. Indust. Appl. Math. 9, No. 1 (1992), 25-33.
8. B. ROYNETTE, Approximation en norme Besov de la solution d’une E.D.S., a paraître à Stoch. and Stoch. reports, (1994).
9. D. REVUZ ET M. YOR, Continuous martingales and Brownian Motion in “Grundlehren der Math. Wissenschaft,” Vol. 293, Springer-Verlag, Berlin, 1991.
10. A. S. SZNITMANN ET S. R. S. VARADHAN, A multidimensional process involving local time, Z. Wahr. Ver. Gebiete 71 (1986), 553-579.
11. A. K. ZVONKIN, A transformation of the phase space of a diffusion process that removes the drift, Math. USSR Sb. 22, No. 1 (1974), 129-149.