We consider the harmonic heat flow for maps u between B-3, the unit ball of R-3, and its boundary S-2. 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.
Reverse bubbling of currents and harmonic heat flows with prescribed singular set / Pisante, Adriano. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 19:4(2004), pp. 337-378. [10.1007/s00526-003-0213-1]
Reverse bubbling of currents and harmonic heat flows with prescribed singular set
PISANTE, Adriano
2004
Abstract
We consider the harmonic heat flow for maps u between B-3, the unit ball of R-3, and its boundary S-2. 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.File allegati a questo prodotto
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