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One — dimensional stochastic differential equations involving the local times of the unknown process
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References

  • 1980MULTI-DIMENSIONAL DIFFUSION PROCESSES1,243 cited
  • 1979Calcul Stochastique et Problèmes de Martingales1,161 cited
  • 1971On the uniqueness of solutions of stochastic differential equations848 cited

Cited by

  • 2005On the Constructions of the Skew Brownian Motion144 cited
  • 1989Strong Markov Continuous Local Martingales and Solutions of One‐Dimensional Stochastic Differential Equations (Part I)124 cited
  • 2005On one-dimensional stochastic differential equations with generalized drift109 cited
  • 1991Strong Markov Continuous Local Martingales and Solutions of One‐Dimensional Stochastic Differential Equations (Part III)97 cited
  • 2006A scheme for simulating one-dimensional diffusion processes with discontinuous coefficients73 cited
  • 2001Stochastic differential equations for Dirichlet processes67 cited
  • 2006On random walk simulation of one-dimensional diffusion processes with discontinuous coefficients59 cited
  • 2005One-Dimensional Stochastic Differential Equations with Singular and Degenerate Coefficients41 cited
  • 2017Strong convergence for the Euler–Maruyama approximation of stochastic differential equations with discontinuous coefficients41 cited
  • 2018Statistical estimation of the Oscillating Brownian Motion32 cited
  • 2020Strong existence and uniqueness for stable stochastic differential equations with distributional drift

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31 cited
  • 1991On the theorem of T. Yamada and S. Watanabe31 cited
  • 1995Diffusion Approximation for Open State-Dependent Queueing Networks in the Heavy Traffic Situation29 cited
  • 2023Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation27 cited
  • 2019A THRESHOLD MODEL FOR LOCAL VOLATILITY: EVIDENCE OF LEVERAGE AND MEAN REVERSION EFFECTS ON HISTORICAL DATA27 cited
  • 2012One-dimensional parabolic diffraction equations: pointwise estimates and discretization of related stochastic differential equations with weighted local times26 cited