Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions. (Stabilité des cavités électromagnétiques perturbées par des petites inclusions parfaitement conductrices.) (English. Abridged French version) Zbl 1315.35212
Recently, a series of papers have dealt with stability problems for electromagnetic scattering in homogeneous ambient media containing small penetrable heterogenities. The author succeeds in adapting this technique to the current problem by introducing a number of spaces related to \(L^2\) on a bounded Lipschitz open set in \(\mathbb{R}^3\). He then proves an asymptotic Hardy inequality, and finishes the article by proving the required stability theorem. The proofs use the topological dual of \(H_0\), and weak convergence.
Reviewer: Thomas Ernst (Uppsala)
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