Université de Lorraine

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19932026

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Showing 2011 · math.APShow all

7 papers · 2 filters

math.AP2011

Stability for the multi-dimensional Borg-Levinson theorem with partial spectral data

Mourad Choulli, Plamen Stefanov

We prove a stability estimate related to the multi-dimensional Borg-Levinson theorem of determining a potential from spectral data: the Dirichlet eigenvalues and the normal derivat…

math.AP2011★ 1 cited

Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids

Jan Sokolowski, Jan Stebel

We study the shape differentiability of a cost function for the flow of an incompressible viscous fluid of power-law type. The fluid is confined to a bounded planar domain surround…

math.AP2011★ 39 cited

Global and local regularity of Fourier integral operators on weighted and unweighted spaces

David Dos Santos Ferreira, Wolfgang Staubach

We investigate the global continuity on $L^{p}$ spaces with $p \in [1, \infty]$ of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain…

math.AP2011★ 20 cited

The Lin-Ni's problem for mean convex domains

Olivier Druet, Frédéric Robert, Juncheng Wei

We prove some refined asymptotic estimates for postive blowing up solutions to $Δ u + ε u = n (n - 2) u^{\frac{n + 2}{n - 2}}$ on $Ω$ , $\partial_{ν} u = 0$ on $\partial Ω$ ; $Ω$ being a smooth bounded…

math.AP2011★ 22 cited

Asymptotic analysis for fourth order Paneitz equations with critical growth

Emmanuel Hebey, Frédéric Robert

We investigate fourth order Paneitz equations of critical growth in the case of $n$ -dimensional closed conformally flat manifolds, $n \geq 5$ . Such equations arise from conformal ge…

math.AP2011

Optimal estimates from below for biharmonic Green functions

Hans-Christoph Grunau, Frédéric Robert, Guido Sweers

Optimal pointwise estimates are derived for the biharmonic Green function under Dirichlet boundary conditions in arbitrary $C^{4, γ}$ -smooth domains. Maximum principles do not exist…