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Titlebook: Regularity Theory for Mean-Field Game Systems; Diogo A. Gomes,Edgard A. Pimentel,Vardan Voskanyan Book 2016 Springer International Publish

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發(fā)表于 2025-3-21 20:03:58 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Regularity Theory for Mean-Field Game Systems
編輯Diogo A. Gomes,Edgard A. Pimentel,Vardan Voskanyan
視頻videohttp://file.papertrans.cn/826/825556/825556.mp4
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
叢書名稱SpringerBriefs in Mathematics
圖書封面Titlebook: Regularity Theory for Mean-Field Game Systems;  Diogo A. Gomes,Edgard A. Pimentel,Vardan Voskanyan Book 2016 Springer International Publish
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
關(guān)鍵詞Fokker-Planck equation; Hamilton-Jacobi equation; Lax-Hopf estimates; Logarithmic non-linearities; mean-
版次1
doihttps://doi.org/10.1007/978-3-319-38934-9
isbn_softcover978-3-319-38932-5
isbn_ebook978-3-319-38934-9Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:31:52 | 只看該作者
https://doi.org/10.1007/978-3-319-38934-9Fokker-Planck equation; Hamilton-Jacobi equation; Lax-Hopf estimates; Logarithmic non-linearities; mean-
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Explicit Solutions, Special Transformations, and Further Examples,Few mean-field games can be solved explicitly. However, examples for which closed solutions are known illustrate essential features of the theory.
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,Estimates for the Hamilton–Jacobi Equation,In this chapter, we examine a priori estimates for solutions of Hamilton–Jacobi equations.
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,Estimates for the Transport and Fokker–Planck Equations,In this chapter, we turn our attention to the second equation in the MFG system, the transport equation, . or the Fokker–Planck equation, . where . is a smooth vector field. Both (.) and (.) are equipped with the initial condition
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