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Resonances in scattering by a resonator
Let \(\Omega\) be an exterior of a bounded domain. The self-adjoint operator \(H=-\Delta\) with Dirichlet boundary conditions on \(\partial \Omega\) is studied in \(L^ 2(\Omega)\). A resonance \(\phi\in L^ 2(\Omega)\) is defined as a vector which is concentrated in some bounded domain \(B\subset \Omega\) and such that the spectral measure \((E_ H ...openaire +2 more sources