Supervisors: <\/strong>Prof Simon Chandler-Wilde<\/strong><\/a>, <\/strong>Prof Jani Virtanen<\/strong><\/a>, and <\/strong>Dr Raffael Hagger<\/strong><\/a><\/p>\n Short description:<\/strong> In this project we will attack a long-standing conjecture in potential theory of (Kenig, 1994) regarding the so-called double-layer potential operator K on a closed curve \u0393 in the plane. The conjecture is that K has essential spectral radius < \u00bd whenever \u0393 is the boundary of a bounded Lipschitz domain.<\/p>\n Full description: PDF<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Singular Integral Operators in Potential Theory: at the Analysis\/Numerical Analysis Interface Supervisors: Prof Simon Chandler-Wilde, Prof Jani Virtanen, and Dr Raffael Hagger Short description: In this project we will attack…Read More ><\/a><\/p>\n","protected":false},"author":709,"featured_media":18,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"__cvm_playback_settings":[],"__cvm_video_id":"","footnotes":""},"coauthors":[11],"class_list":["post-395","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/pages\/395","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/users\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/comments?post=395"}],"version-history":[{"count":10,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/pages\/395\/revisions"}],"predecessor-version":[{"id":466,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/pages\/395\/revisions\/466"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/media\/18"}],"wp:attachment":[{"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/media?parent=395"}],"wp:term":[{"taxonomy":"author","embeddable":true,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/coauthors?post=395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}