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Hybrid Function Spaces, Heat and Nav...

Triebel, Hans,

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Hybrid Function Spaces, Heat and Navier-Stokes Equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Hybrid Function Spaces, Heat and Navier-Stokes Equations/ Hans Triebel
作者:	Triebel, Hans,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2015,
面頁冊數:	1 online resource (196 pages)
標題:	Differential equations -
電子資源:	https://doi.org/10.4171/150
電子資源:	https://www.ems-ph.org/img/books/triebel24_mini.jpg
ISBN:	9783037196502

Hybrid Function Spaces, Heat and Navier-Stokes Equations
Triebel, Hans,

Hybrid Function Spaces, Heat and Navier-Stokes Equations[electronic resource] /Hans Triebel - Zuerich, Switzerland :European Mathematical Society Publishing House,2015 - 1 online resource (196 pages) - EMS Tracts in Mathematics (ETM)24.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

This book is the continuation of Local Function Spaces, Heat and Navier-Stokes Equations (Tracts in Mathematics 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 selfcontained introduction into 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 relies on wavelet decompositions. This 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 the Chapters 5 and 6 to study Navier-Stokes equations in hybrid and global spaces. This book is addressed to graduate students and mathematicians having 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.

ISBN: 9783037196502

Standard No.: 10.4171/150doiSubjects--Topical Terms:

704075
Differential equations

Hybrid Function Spaces, Heat and Navier-Stokes Equations
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