5 papers · 1 filter
A Uniform Pole-Subtracted Limiting Absorption Principle for High-Contrast Elastic Resonator Clusters
Yixian Gao
We establish a uniform pole-subtracted limiting absorption principle for a fixed cluster of \(N\) disjoint three-dimensional high-contrast elastic resonators when the contrast tend…
An isoperimetric inequality for the second Robin eigenvalue of the Weighted Laplacian
Yi Gao, Kui Wang, Anqiang Zhu
In this paper, we investigate a shape optimization problem for the second Robin eigenvalue of the weighted Laplacian on bounded Lipschitz domains symmetric about the origin. Our ma…
Subwavelength resonances in two-dimensional elastic media with high contrast
Yuanchun Ren, Yixian Gao
This paper employs layer potential techniques to investigate wave scattering in two-dimensional elastic media exhibiting high contrasts in both Lamé parameters and density. Our con…
Construction of Exceptional Points in Time-Modulated High-Contrast Elastic Media
Yixian Gao, Shuguan Ji, Shangling Song
Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in -dimensional space (), exhibit a rich spectrum of physical phenomena. This…
Limiting absorption principle of Helmholtz equation with sign changing coefficients under periodic structure
Wenjing Zhang, Yu Chen, Yixian Gao
Negative refractive index materials have attracted significant research attention due to their unique electromagnetic response characteristics. In this paper, we employ the complem…