15 citations · 37 across the 8 of their papers we have counts for
8 papers
An inverse Cauchy problem of a stochastic hyperbolic equation
Fangfang Dou, Peimin Lü
In this paper, we investigate an inverse Cauchy problem for a stochastic hyperbolic equation. A Lipschitz type observability estimate is established using a pointwise Carleman iden…
Stability and regularization for ill-posed Cauchy problem of a stochastic parabolic differential equation
Fangfang Dou, Peimin Lü, Yu Wang
In this paper, we investigate an ill-posed Cauchy problem involving a stochastic parabolic equation. We first establish a Carleman estimate for this equation. Leveraging this estim…
Global Carleman Estimate and State Observation Problem for Ginzburg-Landau Equation
Fangfang Dou, Zhonghua Liao, Xiaomin Zhu
In this paper, we prove a global Carleman estimate for the complex Ginzburg- Landau operator with a cubic nonlinear term in a bounded domain of Rn, n = 2, 3. As applications, we st…
Determination the Solution of a Stochastic Parabolic Equation by the Terminal Value
Fangfang Dou, Wanli Du
This paper studies the inverse problem of determination the history for a stochastic diffusion process, by means of the value at the final time . By establishing a new Carleman…
Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data
Fangfang Dou, Xiaodong Liu, Shixu Meng +1
We introduce two data completion algorithms for the limited-aperture problems in inverse acoustic scattering. Both completion algorithms are independent of the topological and phys…
Conditional Stability of Coefficients Inverse Problem for Strongly Coupled Schrödinger Equations
Xiaomin Zhu, Fangfang Dou
This paper concerns inverse problems for strongly coupled Schrödinger equations. The purpose of this inverse problem is to retrieve a stationary potential in the strongly coupled S…
Logarithmic Stability for Coefficients Inverse Problem of Coupled Wave Equations
Fangfang Dou, Masahiro Yamamoto
This paper investigates the identification of two coefficients in a coupled hyperbolic system with an observation on one component of the solution. Based on the the Carleman estima…
Logarithmic Stability for Coefficients Inverse Problem of Coupled Schrödinger Equations
Fangfang Dou, Masahiro Yamamoto
In this paper, we study an inverse coefficients problem for two coupled Schrödinger equations with an observation of one component of the solution. The observation is done in a non…