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math.AP2012★ 5 cited
Spectral analysis of the Neumann-Poincaré operator and characterization of the gradient blow-up
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
When perfectly conducting or insulating inclusions are closely located, stress which is the gradient of the solution to the conductivity equation can be arbitrarily large as the di…
math.AP2012
Stability estimates for an inverse scattering problem at high frequencies
Habib Ammari, Hajer Bahouri, David Dos Santos Ferreira +1
We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the l…