2 citations · 2 across the 6 of their papers we have counts for
7 papers
Determining nonlinear balance laws in product-type domains by a single local passive boundary observation
Chaohua Duan, Hongyu Liu, Qingle Meng +1
This paper introduces an operator-theoretic paradigm for solving inverse problems in nonlinear balance laws, shifting the focus from identifying specific functional forms to recove…
Pattern formations of coupled PDEs with transparent boundary conditions in product-type ends and applications
Huaian Diao, Hongyu Liu, Qingle Meng +1
This paper studies pattern formations in coupled elliptic PDE systems governed by transparent boundary conditions. Such systems unify diverse areas, including inverse boundary prob…
On a coupled-physics transmission eigenvalue problem and its spectral properties with applications
Huaian Diao, Hongyu Liu, Qingle Meng +1
In this paper, we investigate a transmission eigenvalue problem that couples the principles of acoustics and elasticity. This problem naturally arises when studying fluid-solid int…
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…
Determining anomalies in a semilinear elliptic equation by a minimal number of measurements
Huaian Diao, Xiaoxu Fei, Hongyu Liu +1
We are concerned with the inverse boundary problem of determining anomalies associated with a semilinear elliptic equation of the form , where $a(\mathbf x,…
Further results on generalized Holmgren's principle to the Lamé operator and applications
Huaian Diao, Hongyu Liu, Li Wang
In our earlier paper [9], it is proved that a homogeneous rigid, traction or impedance condition on one or two intersecting line segments together with a certain zero point-value c…
On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems
Huaian Diao, Hongyu Liu, Li Wang
Consider the Lamé operator that arises in the theory of linear elasticity. This paper studies the…