| 书目名称 | Nonlinear Wave Equations |
| 编辑 | Tatsien Li,Yi Zhou |
| 视频video | |
| 概述 | Establishes the complete lower bound estimates of lifespan for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions.Proposes t |
| 丛书名称 | Series in Contemporary Mathematics |
| 图书封面 |  |
| 描述 | .This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms.. .Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut.ions to the corresponding linear problems, the method simply applies the contraction mapping principle.. |
| 出版日期 | Book 2017 |
| 关键词 | Cauchy problem; asymptotic stability; blow-up phenomenon; global iteration method; lower bound estimates |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-55725-9 |
| isbn_softcover | 978-3-662-57250-4 |
| isbn_ebook | 978-3-662-55725-9Series ISSN 2364-009X Series E-ISSN 2364-0103 |
| issn_series | 2364-009X |
| copyright | Springer-Verlag GmbH Germany and Shanghai Scientific and Technical Publishers 2017 |
发表于 2025-3-21 16:52:46
