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One Dimensional Stochastic Differential Equations with Distributional Drifts 被引量:1

One Dimensional Stochastic Differential Equations with Distributional Drifts
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摘要 In this paper we study the existence, pathwise uniqueness and homeomorphism flow of strong solutions to a class of one dimensional SDEs driven by infinitely many Brownian motions, and with Yamada- Watanabe diffusion coefficients and distributional drift coefficients. In this paper we study the existence, pathwise uniqueness and homeomorphism flow of strong solutions to a class of one dimensional SDEs driven by infinitely many Brownian motions, and with Yamada- Watanabe diffusion coefficients and distributional drift coefficients.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第3期501-512,共12页 应用数学学报(英文版)
基金 China Postdoctoral Science Foundation(No.20060390127)
关键词 Strong solution Stochastic homeomorphism flows Dirichlet process Distributional drift Strong solution, Stochastic homeomorphism flows, Dirichlet process, Distributional drift
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  • 1Airault, H., Ren J. Modulus of continuity of the canonic Brownian motion "on the group of diffeomorphisms of the circle". J. Funct. Anal., 196(2): 395-426 (2002)
  • 2Bass, R., Chen, Z. Stochastic differential equations for Dirichlet processes. Probab. Theory Relat. Fields., 121:422-446 (2001)
  • 3Cao, G., He, K. on a type of stochastic differential equations driven by countably many Brownian motions, J. Funct. Anal., 203(1): 262-285 (2003)
  • 4Cao, G., He, K., Zhang, X. Successive approximations of infinite dimensional SDEs with jump. Stochastics and Dynamics, 5(4): 609-619 (2005)
  • 5Da Prato, G., Zabczyk, J. Stochastic equations in infinite dimensions. Cambridge University Press, Cambridge, 1992
  • 6Hitsuda, M., Watanabe, H. On stochastic integrals with respect to an infinite number of Brownian motions and its applitions. In: Proc. of Intern. Symp. SDE., 57-74, 1976
  • 7Huang, Z. Foundation of stochastic analysis, 2nd ed. Science press of China, Peking, 2001
  • 8Ikeda, N., Watanabe, S. Stochastic differential equations and diffusion processes. North-Holland, Kodanska, 1989
  • 9Malliavin, P. The canonic diffusion above the diffeomorphism group of the circle. C.R. Acad. Sci. Paris, Serie Ⅰ, 329:325-329 (1999)
  • 10Ren, J., Zhang, X. Continuity modulus of stochastic homeomorphism flows for SDEs with non-Lipschitz coefficients. J. Func. Anal., 241(2): 439-456, (2006)

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