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.
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More From: Calculus of Variations and Partial Differential Equations
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