热方程拟凹性的反例
偏微分方程分析
2021-11-17 v2
摘要
我们在凸环上构造热方程的解，表明即使对于光滑且次调和的初始数据，拟凹性也可能沿流不保持。
引用
@article{arxiv.1802.04770,
title = {Counterexamples to quasiconcavity for the heat equation},
author = {Albert Chau and Ben Weinkove},
journal= {arXiv preprint arXiv:1802.04770},
year = {2021}
}
备注
12 pages, 1 figure. v2 Final version with minor corrections, to appear in Int. Math. Res. Not