Université de Lorraine

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19932026

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Showing 2012 · math.APShow all

4 papers · 2 filters

math.AP2012★ 24 cited

On stable solutions of biharmonic problem with polynomial growth

Hatem Hajlaoui, Abdelaziz Harrabi, Dong Ye

We prove the nonexistence of smooth stable solution to the biharmonic problem $Δ^{2} u = u^{p}$ , $u > 0$ in $R^{N}$ for $1 < p < \infty$ and $N < 2 (1 + x_{0})$ , where $x_{0}$ is the largest ro…

math.AP2012★ 7 cited

Stable determination of surface impedance on a rough obstacle by far field data

Giovanni Alessandrini, Eva Sincich, Sergio Vessella

We treat the stability of determining the boundary impedance of an obstacle by scattering data, with a single incident field. A previous result by Sincich (SIAM J. Math. Anal. 38,…

math.AP2012

Transparent boundary conditions for locally perturbed infinite hexagonal periodic media

Christophe Besse, Julien Coatleven, Sonia Fliss +2

In this paper, we propose a strategy to determine the Dirichlet-to-Neumann (DtN) operator for infinite, lossy and locally perturbed hexagonal periodic media. We obtain a factorizat…

math.AP2012★ 15 cited

Stability of the determination of the surface impedance of an obstacle from the scattering amplitude

Mourad Bellassoued, Mourad Choulli, Aymen Jbalia

We prove a stability estimate of logarithmic type for the inverse problem consisting in the determination of the surface impedance of an obstacle from the scattering amplitude. We…