局部均匀域中椭圆型方程组的平方根

English | 2024 | ISBN: /978-3-031-63768-1 | 191 pages | True EPUB PDF | 21 MB

This book establishes a comprehensive theory to treat square roots of elliptic systems incorporating mixed boundary conditions under minimal geometric assumptions. To lay the groundwork, the text begins by introducing the geometry of locally uniform domains and establishes theory for function spaces on locally uniform domains, including interpolation theory and extension operators. In these introductory parts, fundamental knowledge on function spaces, interpolation theory and geometric measure theory and fractional dimensions are recalled, making the main content of the book easier to comprehend. The centerpiece of the book is the solution to Kato's square root problem on locally uniform domains. The Kato result is complemented by corresponding $L^p$ bounds in natural intervals of integrability parameters. This book will be useful to researchers in harmonic analysis, functional analysis and related areas.

中文|2024|ISBN:/978-3-031-63768-1|191页|True EPUB PDF | 21 MB本书建立了一个全面的理论来处理在最小几何假设下包含混合边界条件的椭圆系统的平方根。为了奠定基础，本文首先介绍了局部均匀域的几何结构，并建立了局部一致域上函数空间的理论，包括插值理论和扩展算子。在这些介绍部分，我们回顾了函数空间、插值理论、几何测度理论和分数维的基本知识，使本书的主要内容更容易理解。这本书的核心是解决加藤在局部均匀域上的平方根问题。Kato结果由可积参数自然区间中的相应$L^p$界补充。这本书将对谐波分析、泛函分析和相关领域的研究人员有所帮助。

---

Download from free file storage

 Download from nitroflare.com  Download from rapidgator.net

---

我要反馈

---

本站不对文件进行储存，仅提供文件链接，请自行下载，本站不对文件内容负责，请自行判断文件是否安全，如发现文件有侵权行为，请联系管理员删除。