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

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【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


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good book, thanks for sharing

数学物理方程方面好书，为大师顶，支持大师。

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thanks