{"id":6074,"date":"2026-10-19T09:48:26","date_gmt":"2026-10-19T09:48:26","guid":{"rendered":"https:\/\/phd.hi.is\/doktorsvorn\/doktorsvorn-i-staerdfraedi-audunn-skuta-snaebjarnarson\/"},"modified":"2026-10-19T09:48:26","modified_gmt":"2026-10-19T09:48:26","slug":"doktorsvorn-i-staerdfraedi-audunn-skuta-snaebjarnarson","status":"publish","type":"phd_defence","link":"https:\/\/phd.hi.is\/en\/doktorsvorn\/doktorsvorn-i-staerdfraedi-audunn-skuta-snaebjarnarson\/","title":{"rendered":"Doktorsv\u00f6rn \u00ed st\u00e6r\u00f0fr\u00e6\u00f0i – Au\u00f0unn Sk\u00fata Sn\u00e6bjarnarson"},"content":{"rendered":"
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Doktorsefni:<\/strong>\u00a0Au\u00f0unn Sk\u00fata Sn\u00e6bjarnarson<\/p>\n

Heiti ritger\u00f0ar:<\/strong>\u00a0Margli\u00f0un\u00e1lganir \u00e1 Stein v\u00ed\u00f0\u00e1ttum og Monge-Amp\u00e8re virkinn<\/p>\n

Andm\u00e6lendur:<\/strong><\/p>\n

Dr. Ahmed Zeriahi, pr\u00f3fessor vi\u00f0 Paul Sabatier h\u00e1sk\u00f3lann \u00ed Toulouse.<\/p>\n

Dr. H\u00e5kan Samuelsson, pr\u00f3fessor vi\u00f0 Chalmers-t\u00e6knih\u00e1sk\u00f3lann og Gautaborgarh\u00e1sk\u00f3la<\/p>\n

Lei\u00f0beinandi:<\/strong>\u00a0Ragnar Sigur\u00f0sson, pr\u00f3fessor vi\u00f0 Raunv\u00edsindadeild H\u00e1sk\u00f3la \u00cdslands.<\/p>\n

Einnig \u00ed doktorsnefnd: <\/strong><\/p>\n

Dr. J\u00f3n Ing\u00f3lfur Magn\u00fasson, pr\u00f3fessor vi\u00f0 Raunv\u00edsindadeild H\u00e1sk\u00f3la \u00cdslands.<\/p>\n

Dr. L\u00e1rus Thorlacius pr\u00f3fessor vi\u00f0 Raunv\u00edsindadeild H\u00e1sk\u00f3la \u00cdslands.<\/p>\n

Doktorsv\u00f6rn st\u00fdrir:<\/strong>\u00a0Dr. Oddur Ing\u00f3lfsson, pr\u00f3fessor og deildarforseti Raunv\u00edsindadeildar H\u00e1sk\u00f3la \u00cdslands.<\/p>\n

\u00c1grip<\/strong><\/p>\n

Fyrsta megin\u00feema \u00feessarar ritger\u00f0ar er margli\u00f0un\u00e1lganir \u00e1 f\u00e1gu\u00f0um f\u00f6llum \u00e1 Stein v\u00ed\u00f0\u00e1ttum. H\u00e9r l\u00edtum vi\u00f0 \u00e1 margli\u00f0u sem heilt f\u00e1ga\u00f0 fall hvers algildi er takmarka\u00f0 a\u00f0 ofan af veldisv\u00edsisfallinu samskeyttu vi\u00f0 gefna fj\u00f6lundir\u00fe\u00fd\u00f0a t\u00e6mingu, \u00e1 fyllimengi \u00fejappa\u00f0s mengis. S\u00e9r \u00ed lagi \u00fe\u00e1 alh\u00e6fum vi\u00f0 Bernstein-Walsh-Siciak setninguna \u00feannig a\u00f0 h\u00fan n\u00e1i yfir \u00e1kve\u00f0inn n\u00fdjan flokk af Stein v\u00ed\u00f0\u00e1ttum. Rifjum upp a\u00f0 Bernstein-Walsh-Siciak setningin l\u00fdsir venslunum \u00e1 milli m\u00f6gulegrar f\u00e1ga\u00f0rar framlengingar \u00e1 falli f sem er skilgreint \u00e1 \u00fej\u00f6ppu\u00f0u mengi K \u00ed tvinntalnar\u00faminu og hra\u00f0anum \u00e1 bestu n\u00e1lgun \u00e1 f \u00ed j\u00f6fnu m\u00e6li \u00e1 K me\u00f0 margli\u00f0um. Vi\u00f0 alh\u00e6fum l\u00edka setningu Winiarski sem l\u00fdsir venslunum \u00e1 milli vaxtarhra\u00f0a heils f\u00e1ga\u00f0s falls \u00ed tvinntalnar\u00faminu og bestu n\u00e1lgun \u00feess \u00ed j\u00f6fnu m\u00e6li \u00e1 \u00fej\u00f6ppu\u00f0u mengi me\u00f0 margli\u00f0um.<\/p>\n

Ef fj\u00f6lundir\u00fe\u00fd\u00f0 t\u00e6ming \u00e1 Stein v\u00ed\u00f0\u00e1ttu uppfyllir \u00f3hli\u00f0ru\u00f0u Monge-Ampere j\u00f6fnuna \u00e1 fyllimengi \u00fejappa\u00f0s mengis, \u00fe.e. ef h\u00fan er fleyggert m\u00e6tti, \u00fe\u00e1 eru margli\u00f0ur\u00famin sem a\u00f0 h\u00fan skilgreinir af endanlegri v\u00eddd. \u00deess vegna framlengjast ranns\u00f3knir \u00e1 margli\u00f0un\u00e1lgunum \u00e1 Stein v\u00ed\u00f0\u00e1ttum n\u00e1tt\u00farulega yfir \u00ed ranns\u00f3knir \u00e1 Monge-Ampere virkjanum.<\/p>\n

Seinna megin\u00feema \u00feessarar ritger\u00f0ar er Monge-Ampere virkinn. S\u00e9r \u00ed lagi lei\u00f0um vi\u00f0 \u00fat j\u00f6fnur fyrir Monge-Ampere m\u00e1l \u00e1kve\u00f0innar fj\u00f6lskyldu af fj\u00f6lundir\u00fe\u00fd\u00f0um t\u00e6mingum tengdum Lie-sta\u00f0linum af f\u00e1gu\u00f0um v\u00f6rpunum.<\/p>\n

\u00a0<\/strong><\/p>\n

Um doktorsefni\u00f0<\/strong><\/p>\n

Au\u00f0unn Sk\u00fata Sn\u00e6bjarnarson f\u00e6ddist \u00e1ri\u00f0 1990, sonur Sn\u00e6bjarnar Fri\u00f0rikssonar og Elsu Gu\u00f0mundsd\u00f3ttur. Hann lauk st\u00fadentspr\u00f3fi fr\u00e1 Menntask\u00f3lanum \u00e1 Akureyri \u00e1ri\u00f0 2010.\u00a0 Hann lauk BS-pr\u00f3fi \u00ed st\u00e6r\u00f0fr\u00e6\u00f0i fr\u00e1 H\u00e1sk\u00f3la \u00cdslands \u00e1ri\u00f0 2013 og MS-pr\u00f3fi fr\u00e1 H\u00e1sk\u00f3la \u00cdslands \u00e1ri seinna. Hann h\u00f3f doktorsn\u00e1m \u00ed lok \u00e1rs 2014.<\/p>\n

Vi\u00f0bur\u00f0ur \u00e1 facebook<\/a><\/p>\n<\/div><\/div>","protected":false},"featured_media":1745,"template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_phd_date_start":"2019-03-29T14:00:00+00:00","_phd_date_end":"2019-03-29T16:00:00+00:00","_phd_location":"A\u00f0albygging H\u00e1t\u00ed\u00f0arsalur","_phd_admission":"Allir velkomnir","_phd_thesis_title":"Margli\u00f0un\u00e1lganir \u00e1 Stein v\u00ed\u00f0\u00e1ttum og Monge-Amp\u00e8re virkinn","_phd_source_url":"https:\/\/gamli.hi.is\/vidburdir\/doktorsvorn_i_staerdfraedi_audunn_skuta_snaebjarnarson","_phd_source_node_id":"315903","_phd_source_type":"vidburdir","_phd_member_id":430,"footnotes":""},"phd_school":[101,93],"phd_discipline":[103],"class_list":["post-6074","phd_defence","type-phd_defence","status-publish","has-post-thumbnail","hentry","phd_school-raunvisindadeild","phd_school-verkfraedi-og-natturuvisindasvid","phd_discipline-phd-i-staerdfraedi"],"_links":{"self":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_defence\/6074","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_defence"}],"about":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/types\/phd_defence"}],"version-history":[{"count":0,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_defence\/6074\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/media\/1745"}],"wp:attachment":[{"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/media?parent=6074"}],"wp:term":[{"taxonomy":"phd_school","embeddable":true,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_school?post=6074"},{"taxonomy":"phd_discipline","embeddable":true,"href":"https:\/\/phd.hi.is\/en\/wp-json\/wp\/v2\/phd_discipline?post=6074"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}