{"id":311,"date":"2016-09-21T19:30:02","date_gmt":"2016-09-22T02:30:02","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=311"},"modified":"2016-09-21T19:30:02","modified_gmt":"2016-09-22T02:30:02","slug":"satoshi-masaki-osaka","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2016\/09\/21\/satoshi-masaki-osaka\/","title":{"rendered":"Satoshi Masaki (Osaka University)"},"content":{"rendered":"<p>\t\t\t\tThe Analysis and PDE Seminar will take place on Monday, September 26, in room 740, Evans Hall, from 4:10-5:00 pm.<\/p>\n<p>Speaker:\u00a0Satoshi Masaki<\/p>\n<p>Title: Minimization problems on non-scattering solutions to NLS equation<\/p>\n<p>Abstract:\u00a0We consider global dynamics of focusing nonlinear Schrodinger equations.\u00a0A first step in this direction is small data scattering which tells us that\u00a0solutions around the zero solution asymptotically behave like free solutions.\u00a0On the other hand, there exists non-scattering solutions such as standing waves and blowing-up solutions.<\/p>\n<p>In this talk, we will seek threshold solutions between scattering solutions around zero and solutions\u00a0with other behaviors, by introducing two minimization problems on non-scattering solutions.\u00a0In particular, our main interest is the analysis of mass-subcritical case, in which the ground states are stable.\u00a0The analysis of the minimization problems are based on concentration compactness\/rigidity argument\u00a0initiated by Kenig and Merle.\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Analysis and PDE Seminar will take place on Monday, September 26, in room 740, Evans Hall, from 4:10-5:00 pm. Speaker:\u00a0Satoshi Masaki Title: Minimization problems on non-scattering solutions to NLS equation Abstract:\u00a0We consider global dynamics of focusing nonlinear Schrodinger equations.\u00a0A first step in this direction is small data scattering which tells us that\u00a0solutions around the [&hellip;]<\/p>\n","protected":false},"author":108,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-311","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/311","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\/108"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=311"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/311\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=311"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=311"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=311"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}