The martingale problem with sticky reflection conditions, and a system of particles interacting at the boundary
Graham, Carl
Annales de l'I.H.P. Probabilités et statistiques, Tome 24 (1988), p. 45-72 / Harvested from Numdam
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Publié le : 1988-01-01
@article{AIHPB_1988__24_1_45_0,
     author = {Graham, Carl},
     title = {The martingale problem with sticky reflection conditions, and a system of particles interacting at the boundary},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {24},
     year = {1988},
     pages = {45-72},
     mrnumber = {937956},
     zbl = {0643.60042},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPB_1988__24_1_45_0}
}

Graham, Carl. The martingale problem with sticky reflection conditions, and a system of particles interacting at the boundary. Annales de l'I.H.P. Probabilités et statistiques, Tome 24 (1988) pp. 45-72. http://gdmltest.u-ga.fr/item/AIHPB_1988__24_1_45_0/

[1] R.F. Anderson and S. Orey, Small Random Perturbations of Dynamical Systems with Reflecting Boundary, Nagoya Math. J., Vol. 60, 1976, pp. 189-216. | MR 397893 | Zbl 0324.60063

[2] A. Bensoussan and J.-L. Lions, Contrôle impulsionnel et inéquations quasi-variationnelles, Dunod, Paris, 1982. | MR 673169 | Zbl 0491.93002

[3] N. El Karoui, Processus de diffusion associé à un operateur elliptique dégénéré et à une condition frontière, Thèse d'État, Paris-VI, 1971.

[4] C. Graham, Systèmes de particules en interaction dans un domaine à paroi collante et problèmes de martingales avec réflexion, Thèse de Docteur de 3e cycle, Paris-VI, 1985.

[5] N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North Holland, Amsterdam, 1981. | MR 637061 | Zbl 0495.60005

[6] P.-L. Lions and A.-S. Sznitman, Stochastic Differential Equations with Reflecting Boundary Conditions, Comm. Pure Appl. Math., Vol. 37, 1984, pp. 511-537. | MR 745330 | Zbl 0598.60060

[7] P.-A. Meyer, Un cours sur l'intégrale stochastique, Sém. de Prob. de Strasbourg-X. | Numdam | Zbl 0374.60070

[8] D.W. Stroock and S.R.S. Varadhan, Diffusion Processes with Boundary Conditions, Comm. Pure Appl. Math., Vol. 24, 1971, pp. 147-225. | MR 277037 | Zbl 0227.76131

[9] A.-S. Sznitman, Non-Linear Reflecting Diffusion Processes, and the Propagation of Chaos and Fluctuations Associed, J.F.A., Vol. 56, 1984, pp. 311-336. | MR 743844 | Zbl 0547.60080

[10] H. Tanaka, Limit Theorems for Certain Diffusion Processes with Interaction, Taniguchi Symp. S.A., Katata, 1982, pp. 469-488. | MR 780770 | Zbl 0552.60051

[11] T. Shiga and H. Tanaka, Central Limit Theorem for a System of Markovian Particles with Mean Field Interaction, Preprint.

[12] Temps locaux, Astérisque, Vol. 52/53, 1978, S.M.F.