Reverse bubbling of currents and harmonic heat flows with prescribed singular set期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Reverse bubbling of currents and harmonic heat flows with prescribed singular set

Authors:	Adriano?Pisante author-information" > author-information__contact u-icon-before" > mailto:pisante@mat.uniroma.it" title=" pisante@mat.uniroma.it" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Department of Mathematics, University of Rome La Sapienza, P. le Aldo Moro 5, 00185 Roma, Italy

Abstract:	We consider the harmonic heat flow for maps u between B³, the unit ball of $mathbb{R}^3$ , and its boundary S². For a class of possibly singular initial and boundary data we show the existence of a weak solution whose singular set is a fixed discrete set on the vertical axis arbitrarily prescribed. Other examples including isolated singularities moving along a prescribed trajectory are given.Received: 23 October 2002, Accepted: 12 March 2003, Published online: 4 September 2003

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