Flowing maps to minimal surfaces: Existence and uniqueness of solutions
نویسندگان
چکیده
منابع مشابه
Flowing Maps to Minimal Surfaces: Existence and Uniqueness of Solutions
We study the new geometric flow that was introduced in [11] that evolves a pair of map and (domain) metric in such a way that it changes appropriate initial data into branched minimal immersions. In the present paper we focus on the existence theory as well as the issue of uniqueness of solutions. We establish that a (weak) solution exists for as long as the metrics remain in a bounded region o...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2014
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2013.03.008