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arXiv · 1805.02419

Singularities of complex-valued solutions to linear parabolic equations

Connor Mooney
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Abstract

We construct examples of blowup from smooth data for complex-valued solutions to linear uniformly parabolic equations in dimension $n \geq 2$, which are exactly as irregular as parabolic energy estimates allow.

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Connor Mooney. 2018-05-07. Singularities of complex-valued solutions to linear parabolic equations. https://arxiv.org/abs/1805.02419

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