4 papers
Stability Estimates for the Inverse Problem of Reconstructing Point sources in Parabolic Equations
Kuang Huang, Bangti Jin, Yavar Kian +1
In this work, we investigate the stability issue of the inverse problem of determining the locations and time-dependent amplitudes of point sources in a parabolic equation with a n…
Hölder Stable Recovery of the Source in Space-Time Fractional Wave Equations
Kuang Huang, Zhiyuan Li, Zhidong Zhang +1
We study the recovery of a spatially dependent source in a one-dimensional space-time fractional wave equation using boundary measurement data collected at a single endpoint. The m…
Point Source Identification in Subdiffusion from A Posteriori Internal Measurement
Kuang Huang, Bangti Jin, Yavar Kian +2
In this work we investigate an inverse problem of recovering point sources and their time-dependent strengths from {a posteriori} partial internal measurements in a subdiffusion mo…
On an Inverse Problem of the Generalized Bathtub Model of Network Trip Flows
Kuang Huang, Bangti Jin, Zhi Zhou
In this work, we investigate the generalized bathtub model, a nonlocal transport equation for describing network trip flows served by privately operated vehicles inside a road netw…