56 citations · 510 across the 96 of their papers we have counts for
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The Carleman Contraction Mapping Method for a Coefficient Inverse Problem of the Epidemiology
Michael V. Klibanov, Trung Truong
It is proposed to monitor spatial and temporal spreads of epidemics via solution of a Coefficient Inverse Problem for a system of three coupled nonlinear parabolic equations. To so…
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…
A New Type of Ill-Posed and Inverse Problems for Parabolic Equations
Michael V. Klibanov
The time dependent experimental data are always collected at discrete grids with respect to the time t. The step size h of such a grid is always separated from zero by a certain po…
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…