BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mariana Smit Vega Garcia (Western Washington University) DTSTART:20210405T160000Z DTEND:20210405T165000Z DTSTAMP:20260423T010250Z UID:anpdews/57 DESCRIPTION:Title: Almost minimizers for obstacle problems\nby Mariana Smit Vega Garcia (Western Washington University) as part of HA-GMT-PDE Seminar\n\n\nAbstrac t\nIn the applied sciences one is often confronted with free boundaries\, which arise when the solution to a problem consists of a pair: a function u (often satisfying a partial differential equation)\, and a set where thi s function has a specific behavior. Two central issues in the study of fre e boundary problems are: \n\n(1) What is the optimal regularity of the sol ution u? \n\n(2) How smooth is the free boundary? \n\nThe study of the cla ssical obstacle problem - one of the most renowned free boundary problems - began in the ’60s with the pioneering works of G. Stampacchia\, H. Lew y\, and J. L. Lions. During the past decades\, it has led to beautiful dev elopments\, and its study still presents very interesting and challenging questions. In contrast to the classical obstacle problem\, which arises fr om a minimization problem (as many other PDEs do)\, minimizing problems wi th noise lead to the notion of almost minimizers. In this talk\, I will in troduce obstacle type problems and overview recent developments in almost minimizers for the thin obstacle problem\, illustrating techniques that ca n be used to tackle questions (1) and (2) in various settings. This is joi nt work with Seongmin Jeon and Arshak Petrosyan.\n LOCATION:https://researchseminars.org/talk/anpdews/57/ END:VEVENT END:VCALENDAR