activity
20172022
most citedSimultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators

7 citations · 20 across the 6 of their papers we have counts for

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8 papers · 1 filter

math.AP2022

The Electromagnetic Waves Generated by Dielectric Nanoparticles

Xinlin Cao, Ahcene Ghandriche, Mourad Sini

We estimate the electromagnetic fields generated by a cluster of dielectric nanoparticles embedded into a background made of a vacuum. The dielectric nanoparticles are small scaled…

math.AP20211 cited

The Effective Permittivity and Permeability Generated by a Cluster of Moderately Contrasting Nanoparticles

Xinlin Cao, Mourad Sini

In a bounded and -smooth domain , , we distribute a cluster of nanoparticles enjoying moderately contrasting relative permittivity and permeability w…

math.AP20207 cited

Determining a piecewise conductive medium body by a single far-field measurement

Xinlin Cao, Huaian Diao, Hongyu Liu

We are concerned with the inverse problem of recovering a conductive medium body. The conductive medium body arises in several applications of practical importance, including the m…

math.AP20193 cited

On nodal and generalized singular structures of Laplacian eigenfunctions and applications in

Xinlin Cao, Huaian Diao, Hongyu Liu +1

This paper is a continuation and an extension of our recent work [3] on the geometric structures of Laplacian eigenfunctions and their applications to inverse scattering problems.…

math.AP20192 cited

On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems

Xinlin Cao, Huaian Diao, Hongyu Liu +1

In this paper, we present some novel and intriguing findings on the geometric structures of Laplacian eigenfunctions and their deep relationship to the quantitative behaviours of t…

math.AP2018

On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications

Huaian Diao, Xinlin Cao, Hongyu Liu

This paper is concerned with the intrinsic geometric structures of conductive transmission eigenfunctions. The geometric properties of interior transmission eigenfunctions were fir…