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Pré-Publication, Document De Travail Année : 2017

Cloaking via change of variables for second order quasi-linear elliptic differential equations

Résumé

The present paper introduces and treats the cloaking via change of variables in the framework of quasi-linear elliptic partial differential operators belonging to the class of Leray-Lions (cf. [14]). We show how a regular near-cloak can be obtained using an admissible (nonsingular) change of variables and we prove that the singular change-of variable-based scheme achieve perfect cloaking in any dimension d ≥ 2. We thus generalize previous results (cf. [7], [11]) obtained in the context of electric impedance tomography formulated by a linear differential operator in divergence form.
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Dates et versions

hal-01444772 , version 1 (24-01-2017)

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  • HAL Id : hal-01444772 , version 1

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Maher Belgacem, Abderrahman Boukricha. Cloaking via change of variables for second order quasi-linear elliptic differential equations. 2017. ⟨hal-01444772⟩
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