{"id":87,"date":"2018-10-05T14:20:01","date_gmt":"2018-10-05T12:20:01","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/mprats\/?p=87"},"modified":"2025-07-09T15:27:25","modified_gmt":"2025-07-09T13:27:25","slug":"daniel-faraco-and-marti-prats-characterization-for-stability-in-planar-conductivities","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/mprats\/2018\/10\/05\/daniel-faraco-and-marti-prats-characterization-for-stability-in-planar-conductivities\/","title":{"rendered":"Daniel Faraco and Mart\u00ed Prats: Characterization for stability in planar conductivities"},"content":{"rendered":"\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/arxiv.org\/abs\/1701.06480\" target=\"_blank\" rel=\"noreferrer noopener\">arXiv<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/doi.org\/10.1016\/j.jde.2018.01.013\" target=\"_blank\" rel=\"noreferrer noopener\">J. Differential Equations<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n\n\n\n\n<p>We find a complete characterization for sets of isotropic conductivities with stable recovery in the \\( L^2 \\) norm when the data of the Calder\u00f3n Inverse Conductivity Problem is obtained in the boundary of a disk and the conductivities are constant in a neighborhood of its boundary. To obtain this result, we present minimal a priori assumptions which turn out to be sufficient for sets of conductivities to have stable recovery in a bounded and rough domain. The condition is presented in terms of the integral moduli of continuity of the coefficients involved and their ellipticity bound.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We find a complete characterization for sets of isotropic conductivities with stable recovery in the \\( L^2 \\) norm when the data of the Calder\u00f3n Inverse Conductivity Problem is obtained in the boundary of a disk and the conductivities are constant in a neighborhood of its boundary. To obtain this result, we present minimal a &hellip; <a href=\"https:\/\/mat.uab.cat\/web\/mprats\/2018\/10\/05\/daniel-faraco-and-marti-prats-characterization-for-stability-in-planar-conductivities\/\" class=\"more-link\">Continua la lectura de <span class=\"screen-reader-text\">Daniel Faraco and Mart\u00ed Prats: Characterization for stability in planar conductivities<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[95],"tags":[39],"class_list":["post-87","post","type-post","status-publish","format-standard","hentry","category-papers-en","tag-papers-en"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts\/87","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/comments?post=87"}],"version-history":[{"count":5,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts\/87\/revisions"}],"predecessor-version":[{"id":455,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/posts\/87\/revisions\/455"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/media?parent=87"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/categories?post=87"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/mprats\/wp-json\/wp\/v2\/tags?post=87"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}