1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2024
Effective medium theory for embedded obstacles in electromagnetic scattering with applications
Huaian Diao, Hongyu Liu, Qingle Meng +1
This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomo…
math.AP2023
Unique continuation for a mean field game system
Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto
For a mean field game system, we prove the unique continuation which asserts that if Cauchy data are zero on arbitrarily chosen lateral subboundary, then the solution identically v…
math.AP2023★ 1 cited
Hölder Stability and Uniqueness for The Mean Field Games System via Carleman Estimates
Michael V. Klibanov, Jingzhi Li, Hongyu Liu
We are concerned with the mathematical study of the Mean Field Games system (MFGS). In the conventional setup, the MFGS is a system of two coupled nonlinear parabolic PDEs of the s…