Strong unique continuation for the higher order fractional Laplacian

Autor: María Ángeles García-Ferrero, Angkana Rüland

Publikováno v: Mathematics in Engineering, Vol 1, Iss 4, Pp 715-774 (2019)

In this article we study the strong unique continuation property for solutions of higher order (variable coefficient) fractional Schrödinger operators. We deduce the strong unique continuation property in the presence of subcritical and critical Har

Externí odkaz: https://doaj.org/article/ea28d9abaa3b4e5c8696587859a0f021

A Bochner type characterization theorem for exceptional orthogonal polynomials

Autor: Robert Milson, María Ángeles García-Ferrero, David Gómez-Ullate

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid
Digital.CSIC. Repositorio Institucional del CSIC

It was recently conjectured that every system of exceptional orthogonal polynomials is related to a classical orthogonal polynomial system by a sequence of Darboux transformations. In this paper we prove this conjecture, which paves the road to a com

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69d6d25004fa28d65cf9303cc3800347
https://doi.org/10.1016/j.jmaa.2018.11.042

Exceptional Legendre Polynomials and Confluent Darboux Transformations

Autor: María Ángeles García-Ferrero, Robert Milson, David Gómez-Ullate

Publikováno v: E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid
SIGMA 17 (2021), 016, 19 pag
RODIN: Repositorio de Objetos de Docencia e Investigación de la Universidad de Cádiz
Universidad de Cádiz
RODIN. Repositorio de Objetos de Docencia e Investigación de la Universidad de Cádiz
instname
E-Prints Complutense. Archivo Institucional de la UCM

Exceptional orthogonal polynomials are families of orthogonal polynomials that arise as solutions of Sturm-Liouville eigenvalue problems. They generalize the classical families of Hermite, Laguerre, and Jacobi polynomials by allowing for polynomial s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19780aa9b323628e71a65e62a6722440
http://arxiv.org/abs/2008.02822

Approximation theorems for parabolic equations and movement of local hot spots

Autor: María Ángeles García-Ferrero, Alberto Enciso, Daniel Peralta-Salas

Publikováno v: Digital.CSIC. Repositorio Institucional del CSIC
instname
Duke Mathematical Journal
Duke Math. J. 168, no. 5 (2019), 897-939

We prove a global approximation theorem for a general parabolic operator L, which asserts that if v satisfies the equation Lv = 0 in a space-time region Ω ⊂ ℝ satisfying a certain necessary topological condition, then it can be approximated in a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ed30b19c08e5b452211f0087a62461d
http://hdl.handle.net/10261/199540

Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation

Autor: Angkana Rüland, Wiktoria Zatoń, María Ángeles García-Ferrero

Publikováno v: Inverse problems and imaging

In this article, we discuss quantitative Runge approximation properties for the acoustic Helmholtz equation and prove stability improvement results in the high frequency limit for an associated partial data inverse problem modelled on \cite{AU04, KU1

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdcc6231cfede14e6589658d63427039