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math.SP2024
Characterization of the Eigenvalues and Eigenfunctions of the Helmholtz Newtonian operator N^k
Zhe Wang, Ahcene Ghandriche, Jijun Liu
The Newtonian potential operator for the Helmholtz equation, which is represented by the volume integral with fundamental solution as kernel function, is of great importance for di…
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…