Singularities of complex-valued solutions to linear parabolic equations
Analysis of PDEs
2018-05-23 v2
Abstract
We construct examples of blowup from smooth data for complex-valued solutions to linear uniformly parabolic equations in dimension , which are exactly as irregular as parabolic energy estimates allow.
Cite
@article{arxiv.1805.02419,
title = {Singularities of complex-valued solutions to linear parabolic equations},
author = {Connor Mooney},
journal= {arXiv preprint arXiv:1805.02419},
year = {2018}
}