Backward doubly stochastic differential equations and systems of quasilinear SPDEs

Krylov, N.V., Rozovskii, B.L.: Stochastic evolution equations. J. Sov. Math.16, 1233–1277 (1981)

Nualart, D., Pardoux, E.: Stochastic calculus with anticipating integrands. Probab. Theory Relat. Fields78, 535–581 (1988)

Ocone, D., Pardoux, E.: A stochastic Feynman-Kac formula for anticipating SPDEs, and application to nonlinear smoothing. Stochastics45, 79–126 (1993)

Pardoux, E.: Un résultat sur les équations aux dérivés partielles stochastiques et filtrage des processus de diffusion. Note C.R. Acad. Sci., Paris Sér. A287, 1065–1068 (1978)

Pardoux, E.: Stochastic PDEs, and filtering of diffusion processes. Stochastics3, 127–167 (1979)

Pardoux, E., Peng, S.: Adapted solution of a backward stochastic differential equation. Syst. Control Lett.14, 55–61 (1990)

Pardoux, E., Peng, S.: Backward stochastic differential equations and quasilinear parabolic partial differential equations. In: Rozuvskii, B.L., Sowers, R.B. (eds.) Stochastic partial differential equations and their applications. (Lect. Notes Control Inf. Sci., vol. 176, pp. 200–217) Berlin Heidelberg New York: Springer 1992

Peng, S.: Probabilistic interpretation for systems of quasilinear parabolic partial differential equations. Stochastics37, 61–74 (1991)

Peng, S.: A generalized dynamic programming principle and Hamilton-Jacobi-Bellmann equation. Stochastics38, 119–134 (1992)

Peng, S.: A non linear Feynman-Kac formula and applications. In: Chen, S.P., Yong, J.M. (eds.) Proc. of Symposium on system science and control theory, pp. 173–184. Singapore: World Scientific 1992

Rozovskii, B.: Stochastic evolution systems. Dordrecht: Reidel 1991