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20082023
most citedTwo-time-scale stochastic partial differential equations driven by -stable noises: Averaging principles

80 citations · 136 across the 69 of their papers we have counts for

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Showing 2011Show all

10 papers · 1 filter

math.PR2011★ 1 cited

Convergence Rate of EM Scheme for SDDEs

Jianhai Bao, Chenggui Yuan

In this paper we investigate the convergence rate of Euler-Maruyama scheme for a class of stochastic differential delay equations, where the corresponding coefficients may be highl…

math.PR2011

Lyapunov Exponents of Hybrid Stochastic Heat Equations

Jianhai Bao, Xuerong Mao, Chenggui Yuan

In this paper, we investigate a class of hybrid stochastic heat equations. By explicit formulae of solutions, we not only reveal the sample Lyapunov exponents but also discuss the…

math.PR2011

Long-Term Behaviors of Stochastic Interest Rate Models with Jumps and Memory

Jianhai Bao, Chenggui Yuan

In this paper we show the convergence of the long-term return $t^{-μ}\int_0^tX(s)\d s$ for some , where is the short-term interest rate which follows an extension of Co…

math.PR2011

Bismut Formulae and Applications for Functional SPDEs

Jianhai Bao, Feng-Yu Wang, Chenggui Yuan

By using Malliavin calculus, explicit derivative formulae are established for a class of semi-linear functional stochastic partial differential equations with additive or multiplic…

math.PR2011★ 1 cited

Derivative Formula and Harnack Inequality for Degenerate Functional SDEs

Jianhai Bao, Feng-Yu Wang, Chenggui Yuan

By constructing successful couplings, the derivative formula, gradient estimates and Harnack inequalities are established for the semigroup associated with a class of degenerate fu…

math.PR2011

On the Exponential Stability of Switching-Diffusion Processes with Jumps

Chenggui Yuan, Jianhai Bao

In this paper we focus on the pathwise stability of mild solutions for a class of stochastic partial differential equations which are driven by switching-diffusion processes with j…