Workshop on Mean Curvature and Regularity
Weyl Law for the phase transition spectrum and density of limit-interfaces
Abstract: The Allen-Cahn equation behaves as a desingularization of the area functional. This allows for a PDE approach to the construction of minimal hypersurfaces in closed Riemannian manifolds. After presenting and overview of the subject, I will discuss recent results regarding a Weyl Law and its consequences for the density of minimal hypersurfaces in generic metrics. This is joint work with P. Gaspar.
Date & Time
November 05, 2018 | 11:30am – 12:30pm
Location
Simonyi Hall 101Speakers
Marco Méndez Guaraco
Affiliation
Member, School of Mathematics