Abstract
We derive an upper bound for the radius R(t) of a vanishing bubble in a family of equivariant maps Ft : D2 → S2 which evolve by the harmonic map flow. The self-similar "type 1" radius would be R(t) = C√T-T. WE prove that R(t) = o(T - t). © 2009 Society for Industrial and Applied Mathematics.
Original language | English |
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Pages (from-to) | 1121-1137 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 41 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2009 |