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Degenerate SDE with Hölder--Dini Drift and Non-Lipschitz Noise Coefficient
10 references·4 citing·30 second hop
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this work references cited by second hop

References

  • 1971On the uniqueness of solutions of stochastic differential equations848 cited
  • 1974A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT430 cited
  • 2004Strong solutions of stochastic equations with singular time dependent drift420 cited
  • 2005A study of a class of stochastic differential equations with non-Lipschitzian coefficients137 cited
  • 2011Stochastic Homeomorphism Flows of SDEs with Singular Drifts and Sobolev Diffusion Coefficients126 cited
  • 2011Pathwise uniqueness and continuous dependence for SDEs with non-regular drift99 cited
  • 2013Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift89 cited
  • 2013Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift84 cited
  • 2009Pathwise uniqueness for a class of SDE in Hilbert spaces and applications74 cited
  • 2010Stochastic flows and Bismut formulas for stochastic Hamiltonian systems62 cited

Cited by

  • 2018Convergence Rate of Euler–Maruyama Scheme for SDEs with Hölder–Dini Continuous Drifts39 cited
  • 2016Sobolev differentiable flows of SDEs with local Sobolev and super-linear growth coefficients39 cited
  • 2018Stochastic Hamiltonian flows with singular coefficients38 cited
  • 2017

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The exact Taylor formula of the implied volatility
23 cited