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Stability of resonances under smooth perturbations of the boundary. (English) Zbl 0814.35022
Summary: We prove that the resonances related to a second order elliptic differential operator with Dirichlet boundary conditions are stable in each compact of the complex plane under small \(C^ 2\)-perturbations of the boundary and small changes of the coefficients.

MSC:
35J25 Boundary value problems for second-order elliptic equations
35B35 Stability in context of PDEs
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