PDE Seminar - Bo Guan

Bo Guan
February 5, 2014
4:30PM - 5:30PM
MW 154

Date Range
2014-02-05 16:30:00 2014-02-05 17:30:00 PDE Seminar - Bo Guan Title: The Dirichlet Problem for Fully Nonlinear EllipticSpeaker: Bo Guan, The Ohio State UniversitySeminar Type:  PDE, Seminar WebsiteAbstract: We report our recent work on fully nonlinear elliptic equations on Riemannian manifolds. We introduce some new techniques in deriving a priori estimates, which can be used to treat a variety of types of fully nonlinear elliptic and parabolic equations on real or complex manifolds. As a result we are able to solve the Dirichlet problem in a domain with no geometric restrictions under optimal structure conditions. The result is new and optimal in the Euclidean case. MW 154 America/New_York public

Title: The Dirichlet Problem for Fully Nonlinear Elliptic

Speaker: Bo Guan, The Ohio State University

Seminar Type:  PDE, Seminar Website

Abstract: We report our recent work on fully nonlinear elliptic equations on Riemannian manifolds. We introduce some new techniques in deriving a priori estimates, which can be used to treat a variety of types of fully nonlinear elliptic and parabolic equations on real or complex manifolds. As a result we are able to solve the Dirichlet problem in a domain with no geometric restrictions under optimal structure conditions. The result is new and optimal in the Euclidean case.

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