5 papers
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…
An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space
Yi Gao, Kui Wang
We prove a sharp isoperimetric inequality for the harmonic mean of the first nonzero Neumann eigenvalues for bounded Lipschitz domains symmetric about the origin in Gauss spa…
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…
Quantum Birkhoff Normal Form in the -Bruno-Rüssmann non-resonant condition
Huanhuan Yuan, Yixian Gao, Yong Li
The aim of this paper is to construct a Gevrey quantum Birkhoff normal form for the -differential operator where , in the neighborho…