References
Bensoussan, A., Teman, R.: Equations aux dérivées partielles stochastiques non linéaires (1). Israel J. Math.11, 95–129 (1972)
Browder, F.: Nonlinear equations of evolution. Ann. Math.80, 485–523 (1964)
Curtain, R. F., Falb, P.: Stochastic differential equations in Hilbert space. J. Differ. Equ.10, 412–430 (1971)
Donsker, M.D., Lions, J.L.: Volterra variational equations, boundary value problems, and function space integrals. Acta. Math.108, 147–228 (1962)
Doob, J.L.: Stochastic Processes. New York: J. Wiley 1953
Gajewski, H., Zacharias, K.: Zur Konvergenz des Galerkin-Verfahrens bei einer Klasse nichtlinearer Differentialgleichungen im Hilbert-Raum. Math. Nachr.51, 269–278 (1971)
Gikhman, I. I., Skorokhold, A. V.: Introduction to the theory of random processes. Philadelphia, Pa: Saunders 1969
Ito, K.: On stochastic differential equatins. Mem. Math. Amer. Soc. (1951)
Kato, T.: Nonlinear semigroups and evolution equations. J. Math. Soc. Japan19, 508–520 (1967)
Kernevez, J.P.: Thesis, Paris 1971
Kōmura, Y.: Nonlinear semigroups in Hilbert space. J. Math. Soc. Japan19, 493–507 (1967)
Kurtz, T. G.: Semigroups of conditioned shifts and approximation of Markov processes. Ann. Prob.3, 618–642 (1975)
Lions, J. L.: Quelques méthodes de résolution des problems aux limites non linéaires. Paris: Dunod-Gauthier Villars 1969
Minty, G.J.: Montone (nonlinear) operators in Hilbert space. Duke Math. J.29, 541–546 (1962)
Pardoux, E.: Nonlinear stochastic partial differential equations. Thesis 1974
Skorokhod, A.V.: Limit theorems for Markov processes. Theory Prob. Appl.3, 202–246 (1958)
Watanabe, J.: On certain nonlinear evolution equations. J. Math. Soc. Japan25, 446–463 (1973)
Yosida, K.: Functional analysis, 2nd ed. Berlin, Heidelberg, New York: Springer 1968
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lee, CP. On a class of nonlinear stochastic evolution equations. Math. Ann. 233, 9–19 (1978). https://doi.org/10.1007/BF01351493
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01351493