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math.SP2026
Eigenvalue Asymptotics in High-Contrast Media
Huaian Diao, Long Li, Mourad Sini +1
We investigate the eigenfrequency asymptotics of a bounded acoustic cavity containing a shrinking high-contrast inclusion. This configuration is motivated by contrast-enhanced ultr…
math.SP2023
Estimation of the eigenvalues and the integral of eigenfunctions of the Newtonian potential operator
Abdulaziz Alsenafi, Ahcene Ghandriche, Mourad Sini
We consider the problem of estimating the eigenvalues and the integral of the corresponding eigenfunctions, associated to the Newtonian potential operator, defined in a bounded dom…