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Lisbon WADE — Webinar em Análise e Equações Diferenciais   RSS

Serena Dipierro & Enrico Valdinoci 14/01/2021, 10:00 — 12:00 — Online
Serena Dipierro & Enrico Valdinoci, University of Western Australia

Nonlocal Minimal Surfaces: interior regularity, boundary behavior and stickiness phenomena

Surfaces which minimize a nonlocal perimeter functional exhibit quite different behaviors than the ones minimizing the classical perimeter. We will investigate some structural properties of nonlocal minimal surfaces both in the interior of a given domain and in the vicinity of its boundary.

Among these peculiar features, an interesting property, which is also in contrast with the pattern produced by the solutions of linear equations, is given by the capacity, and the strong tendency, of adhering at the boundary. We will also discuss this phenomenon and present some recent results.

(These are two consecutive talks: Part I is given by Serena Dipierro, Part II by Enrico Valdinoci)

Please note that the seminar takes place at 10am Lisbon/London time, not the usual time for Lisbon WADE

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Organizadores: Hugo Tavares, James Kennedy and Nicolas Van Goethem

Iniciativa conjunta dos centros de investigação CAMGSD, CMAFcIO and GFM.

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