| 书目名称 | On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities |
| 副标题 | A Guide to Theory, A |
| 编辑 | Guy Barles,Emmanuel Chasseigne |
| 视频video | |
| 概述 | Presents a unified viewpoint of the study of Hamilton-Jacobi equations and control problems with discontinuities.Considers results and methods useful for researchers working in network problems.Illust |
| 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications |
| 图书封面 |  |
| 描述 | This monograph presents the most recent developments in the study of Hamilton-Jacobi Equations and control problems with discontinuities, mainly from the viewpoint of partial differential equations. Two main cases are investigated in detail: the case of codimension 1 discontinuities and the stratified case in which the discontinuities can be of any codimensions. In both, connections with deterministic control problems are carefully studied, and numerous examples and applications are illustrated throughout the text..After an initial section that provides a “toolbox” containing key results which will be used throughout the text, Parts II and III completely describe several recently introduced approaches to treat problems involving either codimension 1 discontinuities or networks. The remaining sections are concerned with stratified problems either in the whole space R^N or in bounded or unbounded domains with state-constraints. In particular, the use of stratified solutions to treat problems with boundary conditions, where both the boundary may be non-smooth and the data may present discontinuities, is developed. Many applications to concrete problems are explored throughout the text |
| 出版日期 | Book 2024 |
| 关键词 | Hamilton-Jacobi Equations with discontinuities; Initial-boundary value problems; Deterministic control |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-49371-3 |
| isbn_softcover | 978-3-031-49373-7 |
| isbn_ebook | 978-3-031-49371-3Series ISSN 1421-1750 Series E-ISSN 2374-0280 |
| issn_series | 1421-1750 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:29:26
