{"id":1797,"date":"2025-02-23T13:28:08","date_gmt":"2025-02-23T13:28:08","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/apde\/?p=1797"},"modified":"2025-02-23T13:28:08","modified_gmt":"2025-02-23T13:28:08","slug":"gustav-holzegel-university-of-munster","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2025\/02\/23\/gustav-holzegel-university-of-munster\/","title":{"rendered":"Gustav Holzegel (University of M\u00fcnster)"},"content":{"rendered":"<p>The APDE seminar on Monday, <span data-sheets-root=\"1\">3\/3<\/span>, will be given by Gustav Holzegel (University of M\u00fcnster) in-person in <strong>Evans 736,<\/strong> and will also be broadcasted online via Zoom from <strong>4:10pm to 5:00pm PST<\/strong>. To participate, please email Sung-Jin Oh (<span class=\"gI\"><span class=\"qu\" role=\"gridcell\"><span class=\"go\">sjoh@math.berkeley.edu<\/span><\/span><\/span>).<\/p>\n<p><strong>Title:\u00a0<\/strong>Quasi-linear wave equations on black hole backgrounds<\/p>\n<p><strong>Abstract:\u00a0<\/strong>After a brief introduction to the geometric features of black holes, I will discuss recent joint work with Dafermos, Rodnianski and Taylor introducing a new scheme to prove small data global existence results for quasilinear wave equations on sub-extremal Kerr black hole backgrounds. In the slowly rotating case (see arXiv:2212.14093), a key ingredient is a new purely physical, highly degenerate, spacetime estimate at the top order which avoids understanding the detailed structure of trapped geodesics. In the full sub-extremal case (see arXiv:2410.03639) this estimate needs to be tailored to a finite number of wave packets defined by an appropriate frequency decomposition in the azimuthal and stationary frequencies. The relation to the stability problem for black holes will also be discussed.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 3\/3, will be given by Gustav Holzegel (University of M\u00fcnster) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Sung-Jin Oh (sjoh@math.berkeley.edu). Title:\u00a0Quasi-linear wave equations on black hole backgrounds Abstract:\u00a0After a brief introduction to the geometric features of [&hellip;]<\/p>\n","protected":false},"author":112,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1797","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1797","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/112"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=1797"}],"version-history":[{"count":1,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1797\/revisions"}],"predecessor-version":[{"id":1798,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1797\/revisions\/1798"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=1797"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=1797"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=1797"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}