Lp solutions of backward stochastic differential equations

Stochastic Processes and their Applications - Tập 108 Số 1 - Trang 109-129 - 2003
Philippe Briand1, Bernard Delyon1, Ying Hu1, Étienne Pardoux2, Lucreţiu Stoica3
1IRMAR, Campus de Beaulieu, Université Rennes 1, 35 042 Rennes, Cedex, France
2CMI, 39 rue Joliot-Curie, Université de Provence, 13 453 Marseille, Cedex 13, France
3Université de Bucarest, Str. Academiei nr. 14, Bucarest, Ro 70109, Romania

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Tài liệu tham khảo

Briand, 2000, BSDEs with polynomial growth generators, J. Appl. Math. Stochastic Anal., 13, 207, 10.1155/S1048953300000216

Dellacherie, 1980

El Karoui, 1997, Backward stochastic differential equations in finance, Math. Finance, 7, 1, 10.1111/1467-9965.00022

Kobylanski, 1997, Résultats d'existence et d'unicité pour des équations différentielles stochastiques rétrogrades avec des générateurs à croissance quadratique, C. R. Acad. Sci. Paris Sér. I Math., 324, 81, 10.1016/S0764-4442(97)80108-5

Lepeltier, 1998, Existence for BSDE with superlinear-quadratic coefficient, Stochastics Stochastics Rep., 63, 227, 10.1080/17442509808834149

Pardoux, E., 1999. BSDEs, weak convergence and homogenization of semilinear PDEs, Nonlinear Analysis, Differential Equations and Control (Montreal, QC, 1998). Kluwer Academic Publishers, Dordrecht, pp. 503–549.

Pardoux, 1990, Adapted solution of a backward stochastic differential equation, Systems Control Lett., 14, 55, 10.1016/0167-6911(90)90082-6

Peng, 1991, Probabilistic interpretation for systems of quasilinear parabolic partial differential equations, Stochastics Stochastics Rep., 37, 61

Peng, 1997, Backward SDE and related g-expectation, Vol. 364, 141

Revuz, 1991, Continuous martingales and Brownian motion, Vol. 293