東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Local Function Spaces, Heat and Navi...

Triebel, Hans,

FindBook

Google Book

Amazon

博客來

Local Function Spaces, Heat and Navier-Stokes Equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Local Function Spaces, Heat and Navier-Stokes Equations/ Hans Triebel
作者:	Triebel, Hans,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2013,
面頁冊數:	1 online resource (241 pages)
標題:	Functional analysis -
電子資源:	https://doi.org/10.4171/123
電子資源:	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
LDR:02105nmm a22003015a 4500 001 2233249
003 CH-001817-3
005 20130529234500.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20130529sz fot ||| 0|eng d
020 $a 9783037196236
024 7 0 $a 10.4171/123 $2 doi
035 $a 166-130529
040 $a ch0018173
072 7 $a PBKG $2 bicssc
084 $a 46-xx $a 35-xx $a 42-xx $2 msc
100 1 $a Triebel, Hans, $e author. $3 3480899
245 1 0 $a Local Function Spaces, Heat and Navier-Stokes Equations $h [electronic resource] / $c Hans Triebel
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2013
300 $a 1 online resource (241 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Tracts in Mathematics (ETM) $v 20
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a 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.
650 0 7 $a Functional analysis $3 731345
650 0 7 $a Partial differential equations $2 msc. $3 1597893
650 0 7 $a Fourier analysis $v Congresses. $3 950298 $3 2081869
856 4 0 $u https://doi.org/10.4171/123
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/triebel20_mini.jpg