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Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains

Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains

Inspired by a paper by T. Chakradhar, K. Gittins, G. Habib and N. Peyerimhoff, we analyze their conjecture that the ground state energy of the magnetic Dirichlet-to-Neumann operator tends to infinity as the magnetic field tends to infinity. More precisely, we prove refined conjectures for general two dimensional domains, based …