Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Daudé, Thierry"'
Let $\Omega \subset R^n$, $n \geq 3$, be a fixed smooth bounded domain, and let $\gamma$ be a smooth conductivity in $\overline{\Omega}$. Consider a non-zero frequency $\lambda_0$ which does not belong to the Dirichlet spectrum of $L_\gamma = -{\rm d
Externí odkaz:
http://arxiv.org/abs/2406.14063
In this article we prove the existence of the Born approximation in the context of the radial Calder\'on problem for Schr\"odinger operators. This is the inverse problem of recovering a radial potential on the unit ball from the knowledge of the Diri
Externí odkaz:
http://arxiv.org/abs/2402.06321
In this paper, we obtain H\"older stability estimates for the inverse Steklov problem for Schr\"odinger operators corresponding to a special class of $L^2$ radial potentials on the unit ball. These results provide an improvement on earlier logarithmi
Externí odkaz:
http://arxiv.org/abs/2212.03148
In this paper, we study a new type of inverse problem on warped product Riemannian manifolds with connected boundary that we name warped balls. Using the symmetry of the geometry, we first define the set of Regge poles as the poles of the meromorphic
Externí odkaz:
http://arxiv.org/abs/2203.13850
This paper is devoted to the analysis of Steklov eigenvalues and Steklov eigenfunctions on a class of warped product Riemannian manifolds $(M,g)$ whose boundary $\partial M$ consists in two distinct connected components $\Gamma_0$ and $\Gamma_1$. Fir
Externí odkaz:
http://arxiv.org/abs/2103.13889
Conformally St{\"a}ckel manifolds can be characterized as the class of n-dimensional pseudo-Riemannian manifolds (M, G) on which the Hamilton-Jacobi equation G($\nabla$u, $\nabla$u) = 0 for null geodesics and the Laplace equation --$\Delta$ G $\psi$
Externí odkaz:
http://arxiv.org/abs/1909.01669
Publikováno v:
SIGMA 15 (2019), 069, 42 pages
Painlev\'e metrics are a class of Riemannian metrics which generalize the well-known separable metrics of St\"ackel to the case in which the additive separation of variables for the Hamilton-Jacobi equation is achieved in terms of groups of independe
Externí odkaz:
http://arxiv.org/abs/1903.10573
We show that there is non-uniqueness for the Calder{\'o}n problem with partial data for Riemannian metrics with H{\"o}lder continuous coefficients in dimension greater or equal than three. We provide simple counterexamples in the case of cylindrical
Externí odkaz:
http://arxiv.org/abs/1901.10467
In this paper, we study the amount of information contained in the Steklov spectrum of some compact manifolds with connected boundary equipped with a warped product metric. Examples of such manifolds can be thought of as deformed balls in R^d. We fir
Externí odkaz:
http://arxiv.org/abs/1812.07235