14 citations · 38 across the 49 of their papers we have counts for
5 papers · 1 filter
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…
On the existence of multiple normalized solutions for a class of fractional Choquard equations with mixed nonlinearities
Yongpeng Chen, Zhipeng Yang, Jianjun Zhang
We investigate the existence of normalized solutions for the following nonlinear fractional Choquard equation: $$ (-Δ)^s u+V(εx)u=λu+\left(I_α*|u|^q\right)|u|^{q-2} u+\left(I_α*|u|…
Convexification for the 3D Problem of Travel Time Tomography
Michael V. Klibanov, Jingzhi Li, Vladimir G. Romanov +1
The travel time tomography problem is a coefficient inverse problem for the eikonal equation. This problem has well known applications in seismic. The eikonal equation is considere…
Convexification for a Coefficient Inverse Problem for a System of Two Coupled Nonlinear Parabolic Equations
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
A system of two coupled nonlinear parabolic partial differential equations with two opposite directions of time is considered. In fact, this is the so-called "Mean Field Games Syst…
Spatiotemporal Monitoring of Epidemics via Solution of a Coefficient Inverse Problem
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
Let S,I and R be susceptible, infected and recovered populations in a city affected by an epidemic. The SIR model of Lee, Liu, Tembine, Li and Osher, \emph{SIAM J. Appl. Math.},~81…