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Stochastic Differential Equations with Additive Fractional Noise and Locally Unbounded Drift
9 references·3 citing·40 second hop
Stochastic Differential Equations with Additive Fractional Noise and Locally Unbounded Drift (2003)Stochastic Differential Equations with Ad…Regularization of differential equations by fractional noise (2002)Regularization of differentia…Stochastic Calculus with Respect to Gaussian Processes (2001)Stochastic Calculus with Resp…Stochastic Analysis of the Fractional Brownian Motion (1999)Stochastic Analysis of the Fr…An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions (1999)An Elementary Approach to a G…Existence of strong solutions for Itô's stochastic equations via approximations (1996)Existence of strong solutions…On quasi-linear stochastic partial differential equations (1993)On quasi-linear stochastic pa…ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS (1981)ON STRONG SOLUTIONS AND EXPLI…A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT (1974)A TRANSFORMATION OF THE PHASE…On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations (1972)On the pathwise uniqueness of…Distribution dependent SDEs driven by additive fractional Brownian motion (2022)Distribution dependent SDEs d…Strong Existence and Higher Order Fréchet Differentiability of Stochastic Flows of Fractional Brownian Motion Driven SDEs with Singular Drift (2019)Strong Existence and Higher O…A simple theory for the study of SDEs driven by a fractional Brownian motion, in dimension one (2008)A simple theory for the study…Differential equations driven by rough signals (1998)Stochastic Calculus for Fractional Brownian Motion and Applications (2008)Milstein’s type schemes for fractional SDEs (2009)Stochastic Differential Equations and Diffusion Processes (1983)Implicit scheme for quasi-linear parabolic partial differential equations perturbed by space-time white noise (1995)Implicit Scheme for Stochastic Parabolic Partial Diferential Equations Driven by Space-Time White Noise (1997)Stochastic evolution equations in (1999)An introduction to stochastic partial differential equations (2006)Fractional Brownian Motions, Fractional Noises and Applications (1968)Stochastic Calculus for Fractional Brownian Motion I. Theory (2000)FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE (2003)Stochastic Differential Equations and Applications (1976)Integration with respect to fractal functions and stochastic calculus. I (1998)2005): Statistical Aspects of the fractional stochastic calculus (2005)Statistical aspects of the fractional stochastic calculus (2007)Averaging along irregular curves and regularisation of ODEs (2016)Continuous Martingales and Brownian Motion (1999)Statistical Analysis of the Fractional Ornstein–Uhlenbeck Type Process (2002)Limit Theorems for Stochastic Processes (2003)Stochastic integration with respect to fractional brownian motion (2003)Long Range Dependence (2004)Controlled Diffusion Processes (1980)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Lattice Approximations for Stochastic Quasi-Linear Parabolic Partial Differential Equations driven by Space-Time White Noise II (1999)Ergodic Control of Diffusion Processes (2011)Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients (2014)On stochastic differential equations (1951)On the uniqueness of solutions of stochastic differential equations (1971)Optimization of the flow of dividends (1995)On a stochastic integral equation (1946)Stochastic differential equations with jumps (2004)Stochastic differential equations for sticky Brownian motion (2014)On the smoothness of value functions and the existence of optimal strategies in diffusion models (2015)The Malliavin Calculus and Related Topics (1995)Differential equations driven by fractional Brownian motion (2002)Stochastic evolution equations with fractional Brownian motion (2003)The Malliavin Calculus and Related Topics (2006)On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility (2007)Risk-Sensitive Control on an Infinite Time Horizon (1995)A variational representation for certain functionals of Brownian motion (1998)
this work references cited by second hop

References

  • 1999Stochastic Analysis of the Fractional Brownian Motion744 cited
  • 2001Stochastic Calculus with Respect to Gaussian Processes536 cited
  • 1974A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT430 cited
  • 1999An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions401 cited
  • 1996Existence of strong solutions for Itô's stochastic equations via approximations400 cited
  • 1981ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS394 cited
  • 2002Regularization of differential equations by fractional noise170 cited
  • 1972On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations124 cited
  • 1993On quasi-linear stochastic partial differential equations75 cited

Cited by

  • 2008A simple theory for the study of SDEs driven by a fractional Brownian motion, in dimension one33 cited
  • 2022Distribution dependent SDEs driven by additive fractional Brownian motion32 cited
  • 2019Strong Existence and Higher Order Fréchet Differentiability of Stochastic Flows of Fractional Brownian Motion Driven SDEs with Singular Drift30 cited

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