activity
20212026
most citedOn new surface-localized transmission eigenmodes

2 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2026

A Weyl-type law for surface-localized eigenfunctions of the Maxwell transmission problem

Yan Jiang, Hongyu Liu, Kai Zhang +1

This work studies surface-localized transmission eigenfunctions for time-harmonic electromagnetic scattering. Prior results on this phenomenon are mostly qualitative, proving exist…

math.AP2024

Inverse problems for a quasilinear hyperbolic equation with multiple unknowns

Yan Jiang, Hongyu Liu, Tianhao Ni +1

We propose and study several inverse boundary problems associated with a quasilinear hyperbolic equation of the form on a compact…

math.AP2023

Inverse problems for nonlinear progressive waves

Yan Jiang, Hongyu Liu, Tianhao Ni +1

We propose and study several inverse problems associated with the nonlinear progressive waves that arise in infrasonic inversions. The nonlinear progressive equation (NPE) is of a…

math.AP2022★ 1 cited

Spectral patterns of elastic transmission eigenfunctions: boundary localisation, surface resonance and stress concentration

Yan Jiang, Hongyu Liu, Jiachuan Zhang +1

We present a comprehensive study of new discoveries on the spectral patterns of elastic transmission eigenfunctions, including boundary localisation, surface resonance, and stress…

math.AP2022

Boundary localization of transmission eigenfunctions in spherically stratified media

Yan Jiang, Hongyu Liu, Jiachuan Zhang +1

Consider the transmission eigenvalue problem for and associated with , where is a ball in , . If and…

math.AP2021★ 2 cited

On new surface-localized transmission eigenmodes

Youjun Deng, Yan Jiang, Hongyu Liu +1

Consider the transmission eigenvalue problem \[ (Δ+k^2\mathbf{n}^2) w=0,\ \ (Δ+k^2)v=0\ \ \mbox{in}\ \ Ω;\quad w=v,\ \ \partial_νw=\partial_νv=0\ \ \mbox{on} \ \partialΩ. \] It is…