【2015】 Hybrid Function Spaces, Heat and Navier-stokes Equations

Book 图书名称： Hybrid Function Spaces, Heat and Navier-stokes Equations
Author 作者：   Hans Triebel
Publisher 出版社：   European Mathematical Society
Page 页数： 195
Publishing Date 出版时间： Jan 15, 2015                        
Language 语言： English
Size 大小： 2 MB
Format 格式： pdf 文字版
ISBN: 3037191503, 9783037191507
Edition: 第1版 搜索过论坛，没有该文档


This book is the continuation of Local Function Spaces, Heat and Navier-Stokes Equations (EMS Tracts in Mathematics, volume 20, 2013) by the author. A new approach is presented to exhibit relations between Sobolev spaces, Besov spaces, and Hölder-Zygmund spaces on the one hand and Morrey-Campanato spaces on the other. Morrey-Campanato spaces extend the notion of functions of bounded mean oscillation. These spaces play a crucial role in the theory of linear and nonlinear PDEs. Chapter 1 (Introduction) describes the main motivations and intentions of this book. Chapter 2 is a self-contained introduction to Morrey spaces. Chapter 3 deals with hybrid smoothness spaces (which are between local and global spaces) in Euclidean n-space based on the Morrey-Campanato refinement of the Lebesgue spaces. The presented approach, which relies on wavelet decompositions, is applied in Chapter 4 to linear and nonlinear heat equations in global and hybrid spaces. The obtained assertions about function spaces and nonlinear heat equations are used in Chapters 5 and 6 to study Navier-Stokes equations in hybrid and global spaces. This book is addressed to graduate students and mathematicians who have a working knowledge of basic elements of (global) function spaces and who are interested in applications to nonlinear PDEs with heat and Navier-Stokes equations as prototypes. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

== Table of contents ==
n/a


== 回帖见免费下载 ==

本帖隐藏的内容

Hybrid Function Spaces.pdf
大小:(1.95 MB)

 马上下载

声明： 本资源仅供学术研究参考之用，发布者不负任何法律责任，敬请下载者支持购买正版。
提倡免费分享！ 我发全部免费的，分文不收 来看看 ...
你也可关注我  马上加关注