一致抛物型Isaacs方程粘性解理论
偏微分方程分析
2014-08-05 v3
摘要
我们展示了如何利用关于特殊抛物型Isaacs方程在中可解性的定理，来获得一般一致非退化抛物型Isaacs方程粘性解的存在唯一性。我们还应用该定理建立了粘性解的正则性，并证明了有限差分逼近具有代数收敛速度。Isaacs方程的主系数关于空间变量假设属于，其中略小于。
引用
@article{arxiv.1405.0633,
title = {To the theory of viscosity solutions for uniformly parabolic Isaacs equations},
author = {N. V. Krylov},
journal= {arXiv preprint arXiv:1405.0633},
year = {2014}
}
备注
22 pages, generalized results, some typos corrected, added a missing assumption which was however explicitly used. arXiv admin note: substantial text overlap with arXiv:1404.1629