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20022024
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math.AP2012

Enhancement of near-cloaking for the full Maxwell equations

Habib Ammari, Hyeonbae Kang, Hyundae Lee +2

In this paper, we consider near cloaking for the full Maxwell equations. We extend the recent results, where the quasi-static limit case and the Helmholtz equation are considered,…

math.AP2012

The water waves equations: from Zakharov to Euler

Thomas Alazard, Nicolas Burq, Claude Zuily

Starting form the Zakharov/Craig-Sulem formulation of the water-waves equations, we prove that one can define a pressure term and hence obtain a solution of the classical Euler equ…

math.DG2012

The renormalized volume and uniformisation of conformal structures

Colin Guillarmou, Sergiu Moroianu, Jean-Marc Schlenker

We study the renormalized volume of asymptotically hyperbolic Einstein (AHE in short) manifolds when the conformal boundary $\pl M$ has dimension even. Its definition d…

math.AP2012

Stability estimates for an inverse scattering problem at high frequencies

Habib Ammari, Hajer Bahouri, David Dos Santos Ferreira +1

We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the l…

math.RA20121 cited

A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras

Vladimir Chernousov, Vladimir Egorov, Philippe Gille +1

This paper deals with the problem of conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Unlike the methods used by Peterson and Kac, our approach is entirely cohomo…