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On the Strong Solutions of Stochastic Differential Equations
2 references·16 citing·34 second hop
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this work references cited by second hop

References

  • 1971On the uniqueness of solutions of stochastic differential equations848 cited
  • 1960On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures722 cited

Cited by

  • 1992Successive approximations to solutions of stochastic differential equations130 cited
  • 2011Stochastic Homeomorphism Flows of SDEs with Singular Drifts and Sobolev Diffusion Coefficients126 cited
  • 2005Strong solutions of SDES with singular drift and Sobolev diffusion coefficients115 cited
  • 1983Applications du temps local aux equations differentielles stochastiques unidimensionnelles90 cited
  • 2020Ergodicity of stochastic differential equations with jumps and singular coefficients89 cited
  • 2015Sobolev differentiable stochastic flows for SDEs with singular coefficients: Applications to the transport equation76 cited
  • 2013A variational approach to the construction and Malliavin differentiability of strong solutions of SDE’s68 cited
  • 2009Construction of strong solutions of SDE's via Malliavin calculus63 cited
  • 2020Lq(Lp) -theory of stochastic differential equations59 cited
  • 2013Stochastic differential equations with Sobolev drifts and driven by $\alpha$-stable processes57 cited
  • 1984One-dimensional stochastic differential equations involving a singular increasing process53 cited

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2006
Wiener chaos solutions of linear stochastic evolution equations
50 cited
  • 2016Sobolev differentiable flows of SDEs with local Sobolev and super-linear growth coefficients39 cited
  • 2018Stochastic flows for Lévy processes with Hölder drifts35 cited
  • 2011On the sequential testing problem for some diffusion processes31 cited
  • 2013Bayesian Quickest Detection Problems for Some Diffusion Processes30 cited