2 papers
math.AP2023
The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions without complementing conditions
Jean Fornerod, Hoai-Minh Nguyen
The transmission eigenvalue problem is a system of two second-order elliptic equations of two unknowns equipped with the Cauchy data on the boundary. In this work, we establish the…
math.AP2021
The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations
Jean Fornerod, Hoai-Minh Nguyen
Cakoni and Nguyen recently proposed very general conditions on the coefficients of Maxwell equations for which they established the discreteness of the set of eigenvalues of the tr…