Search results for "Calderón"
showing 10 items of 52 documents
The Calderón problem with partial data on manifolds and applications
2013
We consider Calderon's inverse problem with partial data in dimensions $n \geq 3$. If the inaccessible part of the boundary satisfies a (conformal) flatness condition in one direction, we show that this problem reduces to the invertibility of a broken geodesic ray transform. In Euclidean space, sets satisfying the flatness condition include parts of cylindrical sets, conical sets, and surfaces of revolution. We prove local uniqueness in the Calderon problem with partial data in admissible geometries, and global uniqueness under an additional concavity assumption. This work unifies two earlier approaches to this problem (\cite{KSU} and \cite{I}) and extends both. The proofs are based on impr…
Determining an unbounded potential from Cauchy data in admissible geometries
2011
In [4 Dos Santos Ferreira , D. , Kenig , C.E. , Salo , M. , Uhlmann , G. ( 2009 ). Limiting Carleman weights and anisotropic inverse problems . Invent. Math. 178 : 119 – 171 . [Crossref], [Web of Science ®], [Google Scholar] ] anisotropic inverse problems were considered in certain admissible geometries, that is, on compact Riemannian manifolds with boundary which are conformally embedded in a product of the Euclidean line and a simple manifold. In particular, it was proved that a bounded smooth potential in a Schrödinger equation was uniquely determined by the Dirichlet-to-Neumann map in dimensions n ≥ 3. In this article we extend this result to the case of unbounded potentials, namely tho…
Pandora: mito e icono para una fiesta real
2010
This work proposes to analyze La estatua de Prometeo by Calderón de la Barca and the allegoric-philosophical purposes of his mythological icon from a tour of the different stages that the repeated reformulation of Pandora's classic myth have determined. This Calderonian iconic metaphor constructs the deep meaning of the text, since his value is multiple and mends to the narrative, educational, aesthetic and symbolic dimensions. Calderón exhume Pandora's myth from his articolación about the duplications that defines the icon and that restore a labyrinthine poetics of the double.
Tradition and rewrite: "El maestro de danzar", from Lope to Calderón
2018
Altres ajuts: FNS/00015_156044 En el presente artículo pretendo defender e ilustrar la influencia de El maestro de danzar, comedia de Lope de Vega, sobre la pieza homónima de Calderón, cuestión que ha suscitado opiniones dispares entre la crítica. Un análisis minucioso de ambos textos permite establecer paralelismos indiscutibles entre uno y otro, que ponen en evidencia la deuda de Calderón con el Fénix. Se detallan con precisión qué fragmentos se reescribieron y reutilizaron en la obra calderoniana, y se abordan asimismo las circunstancias y motivos que pudieron inducir a Calderón a llevar a cabo dicho proceso de reescritura, que el dramaturgo, lejos de ocultar, puso de manifiesto mediante…
Nota introduttiva a "el príncipe constante / Il principe costante"
2015
Stability of the Calderón problem in admissible geometries
2014
In this paper we prove log log type stability estimates for inverse boundary value problems on admissible Riemannian manifolds of dimension n ≥ 3. The stability estimates correspond to the uniqueness results in [13]. These inverse problems arise naturally when studying the anisotropic Calderon problem. peerReviewed
Superconductive and insulating inclusions for linear and non-linear conductivity equations
2015
We detect an inclusion with infinite conductivity from boundary measurements represented by the Dirichlet-to-Neumann map for the conductivity equation. We use both the enclosure method and the probe method. We use the enclosure method to prove partial results when the underlying equation is the quasilinear $p$-Laplace equation. Further, we rigorously treat the forward problem for the partial differential equation $\operatorname{div}(\sigma\lvert\nabla u\rvert^{p-2}\nabla u)=0$ where the measurable conductivity $\sigma\colon\Omega\to[0,\infty]$ is zero or infinity in large sets and $1<p<\infty$.
The Poisson embedding approach to the Calderón problem
2020
We introduce a new approach to the anisotropic Calder\'on problem, based on a map called Poisson embedding that identifies the points of a Riemannian manifold with distributions on its boundary. We give a new uniqueness result for a large class of Calder\'on type inverse problems for quasilinear equations in the real analytic case. The approach also leads to a new proof of the result by Lassas and Uhlmann (2001) solving the Calder\'on problem on real analytic Riemannian manifolds. The proof uses the Poisson embedding to determine the harmonic functions in the manifold up to a harmonic morphism. The method also involves various Runge approximation results for linear elliptic equations.
«Amor y Psique. Hermenéutica de una fábula de las Artes figurativas al teatro de Calderón»
2013
Este trabajo se centra en el estudio de la obra calderoniana Ni amor se libra de amor, y de cómo se diseña la fábula argumental de Amor y Psique a través del análisis textual por medio de tres recorridos fundamentales: la referencia a las taxonomías de la tradición icónica; el meta-teatro; y la cuestión iconológica con respecto al estatuto de la imagen. The present article focuses on studying the argumentative structure of the fable of Amor and Psyche in Calderón’s play Ni amor se libra de amor. The analysis is based on three aspects: the reference to taxonomies within the iconic tradition; meta-theatre; the iconological dimension with respect to the status of the image.