Topping's conjecture for solutions of harmonic map flow with isolated bubbles
Melanie Rupflin, Alex Waldron, Sebastian Woodward
Abstract
By establishing a weighted Lojasiewicz-Simon inequality for maps which are close to a fixed harmonic map modulo scaling, we prove Topping's conjecture on continuity of the body map in the case of finite time singularities at which only isolated bubbles form.
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