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UID:94e2ee8c1e22ac0c61acc623a587910a
CATEGORIES:Geometric Analysis Seminar
CREATED:20250903T104333
SUMMARY:Asymptotic behavior and rigidity in one-phase free boundary problems
LOCATION:Hill 705
DESCRIPTION:<p style="border: 0px; font-weight: 400; font-size: 12pt; line-height: inhe
 rit; font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, 
 Helvetica, sans-serif; margin: 1.25em 0px; padding: 0px; vertical-align: ba
 seline; letter-spacing: normal; orphans: 2; text-indent: 0px; text-transfor
 m: none; widows: 2; word-spacing: 0px; white-space: pre-wrap; background-co
 lor: #ffffff; text-align: left;">Abstract: In this talk, we will present so
 me results concerning the behavior of solutions to the one-phase Bernoulli 
 problem that are modeled&nbsp;—either at infinitesimally or at infinity—by 
 one-homogeneous solutions with isolated singularities. We address the uniqu
 eness of blow-up and blow-down limits provided that the one-homogeneous sol
 ution has additional symmetries (integrability through rotations), and esta
 blish rigidity at infinity, in the spirit of Simon–Solomon, given suitable 
 conditions on the linearized operator around the one-homogeneous solution. 
 This is joint work with Max Engelstein and Zihui Zhao.</p>
CONTACT:Daniel Restrepo
DTSTAMP:20260828T230834
DTSTART;TZID=America/New_York:20250909T145000
DTEND;TZID=America/New_York:20250909T155000
SEQUENCE:0
TRANSP:OPAQUE
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