7 citations · 11 across the 8 of their papers we have counts for
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math.AP2023
A rigorous theory on electromagnetic diffraction by a planar aperture in a perfectly conducting screen
Ying Liang, Hai Zhang
In this paper, we revisit the classic problem of diffraction of electromagnetic waves by an aperture in a perfectly conducting plane. We formulate the diffraction problem using a b…
math.AP2023
Stability for inverse source problems of the stochastic Helmholtz equation with a white noise
Peijun Li, Ying Liang
This paper is concerned with the stability estimates for inverse source problems of the stochastic Helmholtz equation driven by white noise. The well-posedness is established for t…
math.AP2023
A direct probing method of an inverse problem for the Eikonal equation
Kazufumi Ito, Ying Liang
In this paper, we propose a direct probing method for the inverse problem based on the Eikonal equation. For the Eikonal equation with a point source, the viscosity solution repres…