Search results for "Calderón"
showing 10 items of 52 documents
Enclosure method for the p-Laplace equation
2014
We study the enclosure method for the p-Calder\'on problem, which is a nonlinear generalization of the inverse conductivity problem due to Calder\'on that involves the p-Laplace equation. The method allows one to reconstruct the convex hull of an inclusion in the nonlinear model by using exponentially growing solutions introduced by Wolff. We justify this method for the penetrable obstacle case, where the inclusion is modelled as a jump in the conductivity. The result is based on a monotonicity inequality and the properties of the Wolff solutions.
"NO HAY VIRTUD SIN EXPERIENCIA": PRETENDIENTES INESPERADOS Y DAMAS AL ACECHO EN LA TRAGEDIA DEL SIGLO DE ORO // NÃO HÁ VIRTUDE SEM EXPERIÊNCIA: PRETE…
2016
RECEBIDO EM 31 AGO 2016 APROVADO EM 01 OUT 2016 A figura do antagonista e chave em qualquer conflito tragico, dado que representa a oposicao a ordem estabelecida, a personagem que consegue develar o lado obscuro do heroi. Um dos conflitos prediletos da tragedia espanhola do seculo XVII e aquele em que se enfrentam o amor e o honor , o passado e o presente, o dever e o desejo, e pode ser articulado por meio de uma estrutura tipificada: um casamento concertado cuja aparente harmonia ver-se-a irremissivelmente alterada pela chegada inesperada de um antigo pretendente da esposa que reclama direitos sentimentais e cuja atuacao comprometedora, unida aos erros da protagonista, levara o marido - in…
MITO Y HERMENÉUTICA EN LAS COMEDIAS PALACIEGAS DE CALDERÓN
2014
Este trabajo pretende definir una «fábula» según la reelaboración mitológica de Calderón, hecha de estereotipos detectables con particular constancia en el repertorio mitológico del poeta: una especie de esquema supeditado a todas las variantes de los mitos en cuestión, y por lo tanto un mapa soportado por un personal planteamiento hermenéutico, coincidente con una poética de autor. A través de un reconocimiento del corpus completo de las comedias mitológicas calderonianas, hemos enucleado los «mitologemas» recurrentes. Por «mitologemas» se entienden en la semiótica textuallos topoi mitológicos —estereotipos de acción, situación, objetos, lugares, actantes— que se repiten con insistencia ta…
La tapicería de la expulsión de los moriscos : un proyecto frustrado de Rodrigo Calderón
2018
espanolEl articulo pone en relacion la serie ya conocida de pinturas titulada «La expulsion de los moriscos del Reino de Valencia» con una documentacion inedita de un encargo realizado por Rodrigo Calderon al virrey de Valencia, marques de Caracena, que incluia, ademas de la narracion de la expulsion, una vista de la ciudad de Valencia y retratos de los protagonistas, y que debia convertirse en una coleccion de tapices nunca realizada. EnglishThis paper deals with an already known series of paintings titled The Expulsion of the Moriscos from the Kingdom of Valencia and provides unpublished documentation of a commission made by Rodrigo Calderon to the viceroy of Valencia, Marquis of Caracena…
Boundary Behavior of Harmonic Functions on Gromov Hyperbolic Manifolds
2013
Estrategias icónicas en las comedias mitológicas de Calderón
2015
El artículo explora el tópico horaciano «ut pictura poiesis», que tan buenos resultado ha ofrecido sobre el análisis de los textos calderonianos, pero no solo: también incorpora la relación de otras artes (música, escenografía, etc.) para estudiar el complejo entramado de las comedias mitológicas de Calderón que fueron representadas en entornos cortesanos. De este modo, la autora rastrea las interacciones artísticas existentes entre obras de destacada importancia como la fiesta palaciega “La fiera, el rayo y la piedra”, “La púrpura de la rosa” o “El hijo del sol, Faetón”. This paper explores the Horacian topic «ut pictura poiesis» which has offered such good results on the analysis of calde…
Reconstruction from boundary measurements for less regular conductivities
2012
In this paper, following Nachman's idea and Haberman and Tataru's idea, we reconstruct $C^1$ conductivity $\gamma$ or Lipchitz conductivity $\gamma$ with small enough value of $|\nabla log\gamma|$ in a Lipschitz domain $\Omega$ from the Dirichlet-to-Neumann map $\Lambda_{\gamma}$. In the appendix the authors and R. M. Brown recover the gradient of a $C^1$-conductivity at the boundary of a Lipschitz domain from the Dirichlet-to-Neumann map $\Lambda_{\gamma}$.
Inverse problems for elliptic equations with power type nonlinearities
2021
We introduce a method for solving Calder\'on type inverse problems for semilinear equations with power type nonlinearities. The method is based on higher order linearizations, and it allows one to solve inverse problems for certain nonlinear equations in cases where the solution for a corresponding linear equation is not known. Assuming the knowledge of a nonlinear Dirichlet-to-Neumann map, we determine both a potential and a conformal manifold simultaneously in dimension $2$, and a potential on transversally anisotropic manifolds in dimensions $n \geq 3$. In the Euclidean case, we show that one can solve the Calder\'on problem for certain semilinear equations in a surprisingly simple way w…
The Calderon problem in transversally anisotropic geometries
2016
We consider the anisotropic Calderon problem of recovering a conductivity matrix or a Riemannian metric from electrical boundary measurements in three and higher dimensions. In the earlier work \cite{DKSaU}, it was shown that a metric in a fixed conformal class is uniquely determined by boundary measurements under two conditions: (1) the metric is conformally transversally anisotropic (CTA), and (2) the transversal manifold is simple. In this paper we will consider geometries satisfying (1) but not (2). The first main result states that the boundary measurements uniquely determine a mixed Fourier transform / attenuated geodesic ray transform (or integral against a more general semiclassical…
The Linearized Calderón Problem in Transversally Anisotropic Geometries
2017
In this article we study the linearized anisotropic Calderon problem. In a compact manifold with boundary, this problem amounts to showing that products of harmonic functions form a complete set. Assuming that the manifold is transversally anisotropic, we show that the boundary measurements determine an FBI type transform at certain points in the transversal manifold. This leads to recovery of transversal singularities in the linearized problem. The method requires a geometric condition on the transversal manifold related to pairs of intersecting geodesics, but it does not involve the geodesic X-ray transform which has limited earlier results on this problem.