Theory of parabolic differential equations and its applications to geometric analysis

The main objective of this work is to establish a Holder and Lp theory for elliptic operators on manifolds with singularities. These operators may exhibit degenerate or singular behaviors while approaching the singular ends of the manifolds. Then we apply the theory established herein to several par...

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Bibliographic Details
Main Author: Shao, Yuanzhen
Other Authors: Larry L. Schumaker
Format: Others
Language:en
Published: VANDERBILT 2015
Subjects:
Online Access:http://etd.library.vanderbilt.edu/available/etd-06152015-150812/