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M. Gozzi

Publications and source records attributed to M. Gozzi.

2 recordsLinked to original sources

Asymptotic expansions of the largest eigenvalues

In this paper, we provide a rigorous derivation of asymptotic formula for the largest eigenvalues using the convergence estimation of the eigenvalues of a sequence of self-adjoint compact operators of perturbations resulting from the presence of small inhomogeneities.

math.AP

Asymptotic Expansions for Resonances in the Presence of Small Anisotropic Imperfections

We provide a rigorous derivation of an asymptotic formula for perturbations in the resonance values caused by the presence of finite number of anisotropic imperfections of small shapes with constitutive parameters different from the background conductivity. The asymptotic expansion is carried out with respect to the size of the imperfections. The main feature of the method is to yield a robust procedure making it possible to recover information about the location, shape, and material properties of the anisotropic imperfections.

math-ph