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Local Function Spaces, Heat and Navi...

Triebel, Hans,

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Local Function Spaces, Heat and Navier-Stokes Equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Local Function Spaces, Heat and Navier-Stokes Equations/ Hans Triebel
Author:	Triebel, Hans,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2013,
Description:	1 online resource (241 pages)
Subject:	Functional analysis -
Online resource:	https://doi.org/10.4171/123
Online resource:	https://www.ems-ph.org/img/books/triebel20_mini.jpg
ISBN:	9783037196236

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

Local Function Spaces, Heat and Navier-Stokes Equations[electronic resource] /Hans Triebel - Zuerich, Switzerland :European Mathematical Society Publishing House,2013 - 1 online resource (241 pages) - EMS Tracts in Mathematics (ETM)20.

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

In this book 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 an important role in the theory of linear and nonlinear PDEs. Chapters 1-3 deal with local smoothness 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 Gagliardo-Nirenberg inequalities. Chapter 5 deals with linear and nonlinear heat equations in global and local function spaces. The obtained assertions about function spaces and nonlinear heat equations are used in Chapter 6 to study Navier-Stokes equations. The 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: 9783037196236

Standard No.: 10.4171/123doiSubjects--Topical Terms:

731345
Functional analysis

Local Function Spaces, Heat and Navier-Stokes Equations
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