Singularities of complex-valued solutions to linear parabolic equations

2018/05/07 by Mooney, Connor
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.02419

Abstract

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

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