PEDRO CARO DAVID DOS SANTOS FERREIRA ALBERTO RUIZ

In this article, we prove a stability estimate going from the Radon transform of a function with limited angle-distance data to the L p norm of the function itself, under some conditions on the support of the function. We apply this theorem to obtain stability estimates for an inverse boundary value problem with partial data.

DAVID DOS SANTOS FERREIRA YAROSLAV KURYLEV MATTI LASSAS MIKKO SALO

We consider the anisotropic Calderón problem of recovering a conductivity matrix or a Riemannian metric from electrical boundary measurements in three and higher dimensions. In the earlier work [13], it was shown that a metric in a fixed conformal class is uniquely deter-mined by boundary measurements under two conditions: (1) the metric is conform...

COLIN GUILLARMOU

For Anosov flows preserving a smooth measure on a closed manifold M, we define a natural self-adjoint operator Π which maps into the space of in-variant distributions in ∩ u<0 H u (M) and whose kernel is made of coboundaries in ∪ s>0 H s (M). We describe relations to Livsic theorem and recover regularity proper-ties of cohomological equations using...

YAROSLAV KURYLEV MATTI LASSAS GUNTHER UHLMANN

We consider inverse problems for the coupled Einstein equations and the matter field equations on a 4-dimensional globally hyperbolic Lorentzian manifold (M, g). We give a positive answer to the question: Do the active measurements, done in a neighborhood U ⊂ M of a freely falling observed µ = µ([s − , s + ]), determine the conformal structure of t...

Jérôme Le Rousseau Ivan Moyano

Null-controllability of the Kolmogorov equation in the whole phase space. 2014. HAL Id: hal-01134917 https://hal.archives-ouvertes.fr/hal-01134917v2 Submitted on 2 Apr 2015 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come ...

Adriano De Cezaro
Published in
Journal of Applied Mathematics

We investigate a level-set-type method for solving ill-posed problems, with the assumption that the solutions are piecewise, but not necessarily constant functions with unknown level sets and unknown level values. In order to get stable approximate solutions of the inverse problem, we propose a Tikhonov-type regularization approach coupled with a l...

Frédéric Le Roux Anthony O’Farrell Maria Roginskaya Ian Short
Published in
Annales de l’institut Fourier

We describe necessary and sufficient conditions for a fixed point free planar homeomorphism that preserves the standard Reeb foliation to embed in a planar flow that leaves the foliation invariant.