含分数阶时间导数的抛物方程弱解的唯一性
偏微分方程分析
2018-01-03 v2
摘要
我们证明了具有分数阶Marchaud或Caputo时间导数的抽象抛物方程弱解的唯一性。我们考虑散度形式方程在分数阶导数转移到检验函数时的弱时间解。
引用
@article{arxiv.1705.03959,
title = {Uniqueness for weak solutions of parabolic equations with a fractional time derivative},
author = {Mark Allen},
journal= {arXiv preprint arXiv:1705.03959},
year = {2018}
}
备注
Accepted version to appear in Contemporary Mathematics. Corrected inaccuracies regarding historical results in the introduction. Also changed the initial condition for the equation and fixed typos