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

Estimates for Differential Operators...

Gel'man, Igor W.,

FindBook

Google Book

Amazon

博客來

Estimates for Differential Operators in Half-space = Translated from the German by Darya Apushkinskaya /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Estimates for Differential Operators in Half-space/ Igor W. Gel'man, Vladimir G. Maz'ya
其他題名:	Translated from the German by Darya Apushkinskaya /
作者:	Gel'man, Igor W.,
其他作者:	Maz'ya, Vladimir G.,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2019,
面頁冊數:	1 online resource (264 pages)
標題:	Differential equations -
電子資源:	https://doi.org/10.4171/191
電子資源:	https://www.ems-ph.org/img/books/gelman_mini.jpg
ISBN:	9783037196915

Estimates for Differential Operators in Half-space = Translated from the German by Darya Apushkinskaya /
Gel'man, Igor W.,

Estimates for Differential Operators in Half-spaceTranslated from the German by Darya Apushkinskaya /[electronic resource] :Igor W. Gel'man, Vladimir G. Maz'ya - Zuerich, Switzerland :European Mathematical Society Publishing House,2019 - 1 online resource (264 pages) - EMS Tracts in Mathematics (ETM)31.

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

Inequalities for differential operators play a fundamental role in the modern theory of partial differential equations. Among the numerous applications of such inequalities are existence and uniqueness theorems, error estimates for numerical approximations of solutions and for residual terms in asymptotic formulas, as well as results on the structure of the spectrum. The inequalities cover a wide range of differential operators, boundary conditions and norms of the corresponding function spaces. The book focuses on estimates up to the boundary of a domain. It contains a great variety of inequalities for differential and pseudodifferential operators with constant coefficients. Results of final character are obtained, without any restrictions on the type of differential operators. Algebraic necessary and sufficient conditions for the validity of the corresponding a priori estimates are presented. General criteria are systematically applied to particular types of operators found in classical equations and systems of mathematical physics (such as Lame's system of static elasticity theory or the linearized Navier-Stokes system), Cauchy-Riemann's operators, Schrödinger operators, among others. The well-known results of Aronszajn, Agmon-Douglis-Nirenberg and Schechter fall into the general scheme, and sometimes are strengthened. The book will be interesting and useful to a wide audience, including graduate students and specialists in the theory of differential equations.

ISBN: 9783037196915

Standard No.: 10.4171/191doiSubjects--Topical Terms:

704075
Differential equations

Estimates for Differential Operators in Half-space = Translated from the German by Darya Apushkinskaya /
LDR:02556nmm a22003015a 4500 001 2233318
003 CH-001817-3
005 20190109233003.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20190131sz fot ||| 0|eng d
020 $a 9783037196915
024 7 0 $a 10.4171/191 $2 doi
035 $a 237-190109
040 $a ch0018173
072 7 $a PBKJ $2 bicssc
084 $a 35-xx $2 msc
100 1 $a Gel'man, Igor W., $e author. $3 3481181
245 1 0 $a Estimates for Differential Operators in Half-space $h [electronic resource] : $b Translated from the German by Darya Apushkinskaya / $c Igor W. Gel'man, Vladimir G. Maz'ya
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2019
300 $a 1 online resource (264 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 31
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a Inequalities for differential operators play a fundamental role in the modern theory of partial differential equations. Among the numerous applications of such inequalities are existence and uniqueness theorems, error estimates for numerical approximations of solutions and for residual terms in asymptotic formulas, as well as results on the structure of the spectrum. The inequalities cover a wide range of differential operators, boundary conditions and norms of the corresponding function spaces. The book focuses on estimates up to the boundary of a domain. It contains a great variety of inequalities for differential and pseudodifferential operators with constant coefficients. Results of final character are obtained, without any restrictions on the type of differential operators. Algebraic necessary and sufficient conditions for the validity of the corresponding a priori estimates are presented. General criteria are systematically applied to particular types of operators found in classical equations and systems of mathematical physics (such as Lame's system of static elasticity theory or the linearized Navier-Stokes system), Cauchy-Riemann's operators, Schrödinger operators, among others. The well-known results of Aronszajn, Agmon-Douglis-Nirenberg and Schechter fall into the general scheme, and sometimes are strengthened. The book will be interesting and useful to a wide audience, including graduate students and specialists in the theory of differential equations.
650 0 7 $a Differential equations $3 704075
650 0 7 $a Partial differential equations $2 msc. $3 1597893
700 1 $a Maz'ya, Vladimir G., $e author. $3 3481180
856 4 0 $u https://doi.org/10.4171/191
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/gelman_mini.jpg