| 书目名称 | Regularity Theory for Mean-Field Game Systems |
| 编辑 | Diogo A. Gomes,Edgard A. Pimentel,Vardan Voskanyan |
| 视频video | |
| 概述 | Details key elements of the regularity theory for mean-field games.Presents a series of techniques for well-posedness.Explores stationary and time-dependent MFGs through a series of a-priori estimates |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs, subquadratic and superquadratic MFG formulations, and distinct classes of mean-field couplings. It also explores stationary and time-dependent MFGs through a series of a-priori estimates for solutions of the Hamilton-Jacobi and Fokker-Planck equation. It shows sophisticated a-priori systems derived using a range of analytical techniques, and builds on previous results to explain classical solutions. The final chapter discusses the potential applications, models and natural extensions of MFGs. As MFGs connect common problems in pure mathematics, engineering, economics and data management, this book is a valuable resource for researchers and graduate students in these fields. |
| 出版日期 | Book 2016 |
| 关键词 | Fokker-Planck equation; Hamilton-Jacobi equation; Lax-Hopf estimates; Logarithmic non-linearities; mean- |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-38934-9 |
| isbn_softcover | 978-3-319-38932-5 |
| isbn_ebook | 978-3-319-38934-9Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 20:03:58
