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7 papers · 2 filters
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…
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…
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 spaces with of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain…
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 on , on ; being a smooth bounded…
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 -dimensional closed conformally flat manifolds, . Such equations arise from conformal ge…
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 -smooth domains. Maximum principles do not exist…