On the necessity of the maximum principle for systems in the proof of Hamilton's matrix Harnack inequality

The heat equation, while well understood in R^n , presents many novel difficulties in curved spaces. Among the techniques developed to deal with these new intricacies are differential Harnack inequalities. Beginning with the work of Li and Yau in [9] this paper will discuss the motivations and...

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Bibliographic Details
Main Author: Getgood, Thomas
Other Authors: Pengfei Guan (Internal/Supervisor)
Format: Others
Language:en
Published: McGill University 2009
Subjects:
Online Access:http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66799