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Boundary Expansions for Minimal Graphs in the Hyperbolic Space

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posted on 2016-03-26, 00:00 authored by Xumin Jiang

We study expansions near the boundary of solutions to the Dirichlet problem for minimal graphs in the hyperbolic space and characterize remainders of the expansions by multiple integrals. With such a characterization, we establish optimal asymptotic expansions of solutions with boundary values of finite regularity and demonstrate a slight loss of regularity for nonlocal coefficients.

History

Date Modified

2017-06-05

Defense Date

2016-03-24

Research Director(s)

Qing Han

Committee Members

Gabor Szekelyhidi Mei-Chi Shaw Matthew Gursky

Degree

  • Doctor of Philosophy

Degree Level

  • Doctoral Dissertation

Program Name

  • Mathematics

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