5 papers
On a class of logarithmic Schrödinger equations via perturbation method
Chen Huang, Zhipeng Yang
In this paper, we consider the following logarithmic Schrödinger equation \[ -Îu + V(x)u = u \log u^{2},\quad x\in\mathbb{R}^{N}. \] Assuming that \(V\in C(\mathbb{R}^{N},\mathbb…
Convexification Numerical Method for Imaging of Moving Targets
Michael V. Klibanov, Jingzhi Li, Vladimir G. Romanov +1
The problem of imaging of a moving target is formulated as a Coefficient Inverse Problem for a hyperbolic equation with its coefficient depending on all three spatial variables and…
A low-rank solver for the Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition
Yujun Zhu, Yulan Ning, Zhipeng Yang +2
This paper proposes, analyzes, and demonstrates an efficient low-rank solver for the stochastic Stokes-Darcy interface model with a random hydraulic conductivity both in the porous…
Convexification With the Viscocity Term for Electrical Impedance Tomography
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
A version of the globally convergent convexification numerical method is constructed for the problem of Electrical Impedance Tomography in the 2D case. An important element of this…
Recovering the sources in the stochastic wave equations from multi-frequency far-field patterns
Yan Chang, Yukun Guo, Zhipeng Yang +1
This paper concerns the inverse source scattering problems of recovering random sources for acoustic and elastic waves. The underlying sources are assumed to be random functions dr…