一致正则黎曼流形上的抛物型方程与退化初边值问题
微分几何
2016-11-29 v2 偏微分方程分析
摘要
本文建立了一大类非紧黎曼流形上二阶线性抛物型微分方程的最优存在性与正则性理论。随后证明了该理论为处理内部或边界处具有强退化性的问题提供了一种通用的统一方法。
引用
@article{arxiv.1403.2418,
title = {Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems},
author = {Herbert Amann},
journal= {arXiv preprint arXiv:1403.2418},
year = {2016}
}
备注
To appear in "Recent Developments of Mathematical Fluid Mechanics", Series: Advances in Mathematical Fluid Mechanics, Birkhaeuser-Verlag, Editors: G. P. Galdi, J. G. Heywood and R. Rannacher. Some misprints of the earlier version have been corrected