- 丛书名 : Annals of Mathematics Studies
- 中图分类号: O1
- 语种: ENG
- 出版信息: Princeton University Press 2022 309页
- EISBN: 9780691233031
- PISBN-P: 9780691233055
- 原文访问地址:
KG评星
知识图谱评星,是一种基于用户使用的评价体系,综合图书的评论数量、引文数量、Amazon评分以及图谱网络中节点的PageRank值(即考虑相邻节点数量和重要性)等多种因素计算而得出的评价数值。星级越高,推荐值越高。CAT核心级
核心学术资源(CAR)项目作为教图公司推出的一项知识型服务,旨在打造一套科学、有效的图书评价体系,并协助用户制定相应的馆藏建设方案。CAR项目调查和分析12所世界一流大学的藏书数据,以收藏学校的数量确定书目的核心级,核心级越高,代表书目的馆藏价值越高。选取核心级在三级以上,即三校以上共藏的图书作为核心书目(CAT)。A definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equationsThis book provides a definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations of general relativity. Along the way, a novel robust analytical framework is developed, which extends to more general matter models. Alexandru Ionescu and Beno卯t Pausader prove global regularity at an appropriate level of generality of the initial data, and then prove several important asymptotic properties of the resulting space-time, such as future geodesic completeness, peeling estimates of the Riemann curvature tensor, conservation laws for the ADM tensor, and Bondi energy identities and inequalities.The book is self-contained, providing complete proofs and precise statements, which develop a refined theory for solutions of quasilinear Klein-Gordon and wave equations, including novel linear and bilinear estimates. Only mild decay assumptions are made on the scalar field and the initial metric is allowed to have nonisotropic decay consistent with the positive mass theorem. The framework incorporates analysis both in physical and Fourier space, and is compatible with previous results on other physical models such as water waves and plasma physics.