The APDE seminar on Monday, 03\/16 will be given by Johannes Sj\u00f6strand in Evans 939 from 4:10 to 5pm. <\/p>\n\n\n\n
Title: Resonances over a potential well in an island.<\/p>\n\n\n\n
Abstract: Recent work with M. Zerzeri. Let V : R^n \u2192 R be a sufficiently analytic potential which tends to 0 at infinity. Assume that for an E > 0 we have V^{-1}(]- ∞ ,E[)=U(E) ⊔ S(E), where U(E)<\/SPAN> ∩ S(E)<\/SPAN> = ∅ , with U(E) connected and bounded (the well) and S(E) connected (the sea). The distribution of the resonances of -h^2 \u0394 + V near E has been thoroughly studied since more than 30 years. If we increase E a natural scenario is that the decomposition persists until the closures of U(E) and S(E) intersect at a critical energy E = E_0. Under some natural assumptions we show that near E_0 most of the resonances are close to the real axis and obey a Weyl law. In one dimension there are more detailed results (Fujiie-Ramond ’98).<\/p>\n\t\t","protected":false},"excerpt":{"rendered":" The APDE seminar on Monday, 03\/16 will be given by Johannes Sj\u00f6strand in Evans 939 from 4:10 to 5pm. Title: Resonances over a potential well in an island. Abstract: Recent work with M. Zerzeri. Let V : R^n \u2192 R be a sufficiently analytic potential which tends to 0 at infinity. Assume that for an […]<\/p>\n","protected":false},"author":109,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-796","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/796","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\/109"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=796"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/796\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=796"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=796"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=796"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}