5 papers
Inverse Source Problem for a Time-Fractional Diffusion-Wave Equation with a Singular Inverse-Square Potential
Zewen Wang, Bin Wu, Yikan Liu +2
This paper investigates an inverse source problem for a time-fractional diffusion-wave equation with a singular inverse-square potential. The source term is assumed to consist of a…
Inverse Source Problems for a Class of Fractional Elliptic Equations with Singular Coefficients
Zewen Wang, Liang Guo, Shufang Qiu +1
An inverse source problem for a class of fractional elliptic equations with singular coefficients is investigated in this paper. For the corresponding direct problem, a formal solu…
Conditional stability for an inverse problem of a fully-discrete stochastic hyperbolic equation
Bin Wu, Xu Zhu, Wenwen Zhou +1
In this paper, we investigate a discrete inverse problem of determining three unknowns, i.e. initial displacement, initial velocity and random source term, in a fully discrete appr…
Carleman estimate for full-discrete approximations of the complex Ginzburg-Landau equation with dynamic boundary conditions and applications to controllability
Xu Zhu, Wenwen Zhou, Bin Wu
In this paper, we investigate Carleman estimate and controllability result for the fully-discrete approximations of a one-dimensional Ginzburg-Landau equation with dynamic boundary…
Carleman estimates for space semi-discrete approximations of one-dimensional stochastic parabolic equation and its applications
Bin Wu, Ying Wang, Zewen Wang
In this paper, we study discrete Carleman estimates for space semi-discrete approximations of one-dimensional stochastic parabolic equation. As applications of these discrete Carle…