Powered by Gathr®
It emphasizes "estimates" and "bounds," teaching you how to control geometric quantities.
The notes teach you how to use PDE estimates (Sobolev inequalities, Harnack inequalities) not just as analysis tools, but as geometric construction tools. You learn how to "solve for a geometric object" rather than just calculating properties of given objects.
The formal textbook is published by International Press of Boston as part of their Lectures on Geometry and Topology series. Digital Formats
To understand the weight of these lecture notes, one must look at the mathematicians who penned them:
