Representing Measures on the Royden Boundary for Solutions of Δu=Pu on a Riemannian Manifold

Representing Measures on the Royden Boundary for Solutions of Δu=Pu on a Riemannian Manifold

<p>Consider the Royden compactification R* of a Riemannian n-manifold R, Γ = R*\R its Royden boundary, Δ its harmonic boundary and the elliptic differential equation Δu = Pu, P ≥ 0 on R. A regular Borel measure m<sup>P</sup> can be constructed on Γ with support equal to the closur...

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Bibliographic Details
Main Author: Chow, Kwang-nan
Format: Others
Language:en
Published: 1970
Online Access:https://thesis.library.caltech.edu/9069/1/Chow_kn_1970.pdf
Chow, Kwang-nan (1970) Representing Measures on the Royden Boundary for Solutions of Δu=Pu on a Riemannian Manifold. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/D80C-CD98. https://resolver.caltech.edu/CaltechTHESIS:07302015-141209767 <https://resolver.caltech.edu/CaltechTHESIS:07302015-141209767>

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https://thesis.library.caltech.edu/9069/1/Chow_kn_1970.pdf
Chow, Kwang-nan (1970) Representing Measures on the Royden Boundary for Solutions of Δu=Pu on a Riemannian Manifold. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/D80C-CD98. https://resolver.caltech.edu/CaltechTHESIS:07302015-141209767 <https://resolver.caltech.edu/CaltechTHESIS:07302015-141209767>

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