Laboratoire de Mathématiques d'Orsay

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20022011

most citedRandom data Cauchy theory for supercritical wave equations I: Local theory

200 citations

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3 papers · 2 filters

math.AP2004

Bubble towers for supercritical semilinear elliptic equations

Yuxin Ge, Ruihua Jing, Frank Pacard

We construct positive solutions of the semilinear elliptic problem $Δ u + λ u + u^{p} = 0$ with Dirichet boundary conditions, in a bounded smooth domain $Ω \subset R^{N}$ $(N \geq 4)$ , whe…

math.AP2004★ 8 cited

Stabilization of the Linear System of Magnetoelasticity

Thomas Duyckaerts

We give a necessary and sufficient condition, of geometric type, for the uniform decay of energy of solutions of the linear system of magnetoelasticity in a bounded domain with smo…

math.AP2004★ 1 cited

Operateur de Schrodinger avec potentiel singulier multi-polaire (Schrodinger operator with a potential including several inverse-square singularities)

Thomas Duyckaerts

Let P be the operator $- Δ + V$ on R^d, where $V$ is a real potential with several inverse square singularities. The usual non-trapping type high-frequency inequality on the truncated…