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Theses

Layer Potential Techniques for Sensitivity Analysis.

Abstract : In this thesis, we are using the method of integral equations of sensitivity analysis of solutions and spectra of the conductivity equation with respect to variations or geometric parameters of the equation. In particular, we consider the problem of conductivity in environments with strong contrasts, the problem of disturbance aboard an inclusion of conductivity, the eigenvalue problem for the Laplacian in disturbed areas and the problem of gap opening in spectrum of photonic crystals.
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Habib Zribi. Layer Potential Techniques for Sensitivity Analysis.. Mathematics [math]. Ecole Polytechnique X, 2005. English. ⟨pastel-00003492⟩

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