Linear backward stochastic differential equations with Gaussian Volterra processes
DOI10.15559/20-VMSTA166zbMath1476.35115arXiv1912.00054MaRDI QIDQ2240074
Publication date: 5 November 2021
Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.00054
Malliavin calculuspartial differential equationbackward stochastic differential equationItô formulaGaussian Volterra process
Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic integrals (60H05) Stochastic calculus of variations and the Malliavin calculus (60H07) Second-order parabolic equations (35K10)
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Cites Work
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- Optimal stochastic control, stochastic target problems, and backward SDE.
- Backward stochastic differential equations with rough drivers
- Anticipative backward stochastic differential equations driven by fractional Brownian motion
- Stochastic analysis of Gaussian processes via Fredholm representation
- Stochastic evolution equations with Volterra noise
- A general non-existence result for linear BSDEs driven by Gaussian processes
- Properties of solution of fractional backward stochastic differential equation
- Adapted solution of a backward stochastic differential equation
- Local time and Tanaka formula for a Volterra-type multifractional Gaussian process
- Backward SDEs driven by Gaussian processes
- Continuous-time stochastic control and optimization with financial applications
- Fractional anticipated BSDEs with stochastic Lipschitz coefficients
- Financial modeling. A backward stochastic differential equations perspective
- Generalized BSDEs driven by fractional Brownian motion
- Fractional backward stochastic differential equations and fractional backward variational inequalities
- Stochastic differential equations, backward SDEs, partial differential equations
- Explicit solutions of a class of linear fractional BSDEs
- The Malliavin Calculus and Related Topics
- Backward Stochastic Differential Equation Driven by Fractional Brownian Motion
- Stochastic integration with respect to the fractional Brownian motion
- Backward Stochastic Differential Equations
- Stochastic calculus with respect to Gaussian processes
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