Search results for "Calderón"
showing 10 items of 52 documents
El imperio nuevo de tu palabra. Canon, tradición y ruptura en poetas cubanas de la Revolución.
2014
La primera parte de esta tesis doctoral analiza la relevancia de la producción antológica como herramienta fundamental del estado revolucionario y las características y objetivos de su proceso canonizador. Para ello, lleva a cabo un largo recorrido a través de la casi totalidad de antologías poéticas publicadas en Cuba durante la segunda mitad del siglo XX (y principios del XXI). De esta labor de búsqueda y compilación surge un vasto fichero que consta a modo de apéndice. En esta parte aparecen organizadas según diversos criterios todas las selecciones poéticas cotejadas a lo largo de la investigación, incorporando la referencia bibliográfica y el índice de autores incluidos en cada una de …
The Calderón problem for the fractional Schrödinger equation
2020
We show global uniqueness in an inverse problem for the fractional Schr\"odinger equation: an unknown potential in a bounded domain is uniquely determined by exterior measurements of solutions. We also show global uniqueness in the partial data problem where the measurements are taken in arbitrary open, possibly disjoint, subsets of the exterior. The results apply in any dimension $\geq 2$ and are based on a strong approximation property of the fractional equation that extends earlier work. This special feature of the nonlocal equation renders the analysis of related inverse problems radically different from the traditional Calder\'on problem.
Á la memoria de Calderón de la Barca en su segundo centenario (1881) : La Universidad de Valencia
1881
"Recuerdo [de] la Universidad de Valencia a los alumnos ... y á los concurrentes a la ... sesion literaria celebrada ... por la Universidad, el Ateneo científico y literario, el Instituto de segunda enseñanza, la Academia y Escuela de Bellas Artes y el Conservatorio de música" La vida es sueño
Introduzione a Lunaria: Consolo versus Calderón
2006
Romera Pintor ha creído oportuno fomentar el conocimiento de la obra de Consolo por las connotaciones que subyacen en todos sus libros en torno a España y su cultura, que tan presentes estuvieron en el reino de Nápoles y Sicilia. Su lenguaje es la clave para rescatar una memoria histórica europea por medio de las referencias textuales de la obra, en una época deshumanizada en donde imperan las máquinas. El presente capítulo ofrece un estudio analítico y sistemático de las fuentes en Lunaria, descubriendo y resaltando de esta manera sus amplias resonancias culturales hispánicas. Tras analizar el texto de Lunaria en profundidad, en las conclusiones críticas, Romera Pintor destaca lo más noved…
Recent progress in the Calderón problem with partial data
2014
Exponential instability in the fractional Calder\'on problem
2017
In this note we prove the exponential instability of the fractional Calder\'on problem and thus prove the optimality of the logarithmic stability estimate from \cite{RS17}. In order to infer this result, we follow the strategy introduced by Mandache in \cite{M01} for the standard Calder\'on problem. Here we exploit a close relation between the fractional Calder\'on problem and the classical Poisson operator. Moreover, using the construction of a suitable orthonormal basis, we also prove (almost) optimality of the Runge approximation result for the fractional Laplacian, which was derived in \cite{RS17}. Finally, in one dimension, we show a close relation between the fractional Calder\'on pro…
Uniqueness and reconstruction for the fractional Calder\'on problem with a single measurement
2020
We show global uniqueness in the fractional Calder\'on problem with a single measurement and with data on arbitrary, possibly disjoint subsets of the exterior. The previous work \cite{GhoshSaloUhlmann} considered the case of infinitely many measurements. The method is again based on the strong uniqueness properties for the fractional equation, this time combined with a unique continuation principle from sets of measure zero. We also give a constructive procedure for determining an unknown potential from a single exterior measurement, based on constructive versions of the unique continuation result that involve different regularization schemes.
Calderón problem for the p-Laplace equation : First order derivative of conductivity on the boundary
2016
We recover the gradient of a scalar conductivity defined on a smooth bounded open set in Rd from the Dirichlet to Neumann map arising from the p-Laplace equation. For any boundary point we recover the gradient using Dirichlet data supported on an arbitrarily small neighbourhood of the boundary point. We use a Rellich-type identity in the proof. Our results are new when p 6 = 2. In the p = 2 case boundary determination plays a role in several methods for recovering the conductivity in the interior. peerReviewed
A characterization of Hajłasz–Sobolev and Triebel–Lizorkin spaces via grand Littlewood–Paley functions
2010
Abstract In this paper, we establish the equivalence between the Hajlasz–Sobolev spaces or classical Triebel–Lizorkin spaces and a class of grand Triebel–Lizorkin spaces on Euclidean spaces and also on metric spaces that are both doubling and reverse doubling. In particular, when p ∈ ( n / ( n + 1 ) , ∞ ) , we give a new characterization of the Hajlasz–Sobolev spaces M ˙ 1 , p ( R n ) via a grand Littlewood–Paley function.
The linearized Calderón problem on complex manifolds
2019
International audience; In this note we show that on any compact subdomain of a Kähler manifold that admits sufficiently many global holomorphic functions , the products of harmonic functions form a complete set. This gives a positive answer to the linearized anisotropic Calderón problem on a class of complex manifolds that includes compact subdomains of Stein manifolds and sufficiently small subdomains of Kähler manifolds. Some of these manifolds do not admit limiting Carleman weights, and thus cannot by treated by standard methods for the Calderón problem in higher dimensions. The argument is based on constructing Morse holo-morphic functions with approximately prescribed critical points.…