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CATEGORIES:Lecture, Colloquia, Seminar
DESCRIPTION:Speaker: Maria Soria-Carro (Rutgers University)\n\nTitle: Regul
 arity of C^{1\,a} Interface Transmission Problems\n\nAbstract: Transmission
  problems describe phenomena in which a physical quantity changes behavior 
 across some fixed surface\, known as the interface. The analysis of such pr
 oblems started in the 1950s with the pioneering work of Picone in elasticit
 y. Nowadays\, they have a wide range of applications in different areas\, s
 uch as electromagnetic processes\, composite materials\, and climatology. T
 ypically\, solutions are not differentiable across the interface\, and the 
 primary interest is to study their optimal regularity from each side of thi
 s surface.\n\nIn this talk\, I will discuss two elliptic transmission probl
 ems where the interface has minimal regularity. The first problem is for ha
 rmonic functions\, and I will explain the main ideas and techniques used to
  prove the optimal regularity of solutions at the boundary. The second prob
 lem is for fully nonlinear equations\, and I will focus on how to obtain a 
 maximum principle (ABP estimate) for this problem\, which plays a key role 
 in the regularity theory of viscosity solutions. These results are part of 
 my Ph.D. dissertation\, and they are in collaboration with Luis Caffarelli 
 and Pablo Raúl Stinga
DTEND:20230329T202000Z
DTSTAMP:20260410T093748Z
DTSTART:20230329T193000Z
LOCATION:Cardwell Hall\, CW 146
SEQUENCE:0
SUMMARY:Analysis Seminar. Regularity of C^{1\,a} Interface Transmission Pro
 blems
UID:tag:localist.com\,2008:EventInstance_42741765674495
URL:https://events.k-state.edu/event/analysis_seminar_regularity_of_c1_inte
 rface_transmission_problems
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