TITLE

# An improved uniqueness result for the harmonic map flow in two dimensions

AUTHOR(S)
Rupflin, Melanie
PUB. DATE
November 2008
SOURCE
Calculus of Variations & Partial Differential Equations;Nov2008, Vol. 33 Issue 3, p329
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Generalizing a result of Freire regarding the uniqueness of the harmonic map flow from surfaces to an arbitrary closed target manifold N, we show uniqueness of weak solutions u ? H 1 under the assumption that any upwards jumps of the energy function are smaller than a geometrical constant $$\epsilon^\star=\epsilon^\star(N)$$ , thus establishing a conjecture of Topping, under the sole additional condition that the variation of the energy is locally finite.
ACCESSION #
33532990

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