Self-shrinkers of Mean Curvature Flow andHarmonic Map Heat Flow with Rough BoundaryDatabyLu WangBachelor of Science, Peking University, July 2006Submitted to the Department of Mathematics0 F TECH 2L 'SEP 0 2 20LIRARISARCHNESin partial fulfillment of the requirements for the degree ofDoctor of Philosophyat theMASSACHUSETTS INSTITUTE OF TECHNOLOGYJune 2011@ Lu Wang, MMXI. All rights reserved.The author hereby grants to MIT permission to reproduce anddistribute publicly paper and electronic copies of this thes...
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