On Uniqueness for the Harmonic Map Heat Flow in Supercritical Dimensions
نویسندگان
چکیده
منابع مشابه
2 1 A ug 2 01 7 ON UNIQUENESS FOR THE HARMONIC MAP HEAT FLOW IN SUPERCRITICAL DIMENSIONS
We examine the question of uniqueness for the equivariant reduction of the harmonic map heat flow in the energy supercritical dimension d ≥ 3. It is shown that, generically, singular data can give rise to two distinct solutions which are both stable, and satisfy the local energy inequality. We also discuss how uniqueness can be retrieved.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2017
ISSN: 0010-3640
DOI: 10.1002/cpa.21716