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

Lectures on the ℒ2-Sobolev Theory of...

Straube, Emil J.,

FindBook

Google Book

Amazon

博客來

Lectures on the ℒ2-Sobolev Theory of the ∂-Neumann problem

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lectures on the ℒ2-Sobolev Theory of the ∂-Neumann problem/ Emil J. Straube
作者:	Straube, Emil J.,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2010,
面頁冊數:	1 online resource (214 pages)
標題:	Differential equations -
電子資源:	https://doi.org/10.4171/076
電子資源:	https://www.ems-ph.org/img/books/straube.jpg
ISBN:	9783037195765

Lectures on the ℒ2-Sobolev Theory of the ∂-Neumann problem
Straube, Emil J.,

Lectures on the ℒ2-Sobolev Theory of the ∂-Neumann problem[electronic resource] /Emil J. Straube - Zuerich, Switzerland :European Mathematical Society Publishing House,2010 - 1 online resource (214 pages) - ESI Lectures in Mathematics and Physics (ESI).

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

This book provides a thorough and self-contained introduction to the ∂-Neumann problem, leading up to current research, in the context of the ℒ2-Sobolev theory on bounded pseudoconvex domains in ℂn. It grew out of courses for advanced graduate students and young researchers given by the author at the Erwin Schrödinger International Institute for Mathematical Physics and at Texas A&M University. The introductory chapter provides an overview of the contents and puts them in historical perspective. The second chapter presents the basic ℒ2-theory. Following is a chapter on the subelliptic estimates on strictly pseudoconvex domains. The two final chapters on compactness and on regularity in Sobolev spaces bring the reader to the frontiers of research. Prerequisites are a solid background in basic complex and functional analysis, including the elementary ℒ2-Sobolev theory and distributions. Some knowledge in several complex variables is helpful. Concerning partial differential equations, not much is assumed. The elliptic regularity of the Dirichlet problem for the Laplacian is quoted a few times, but the ellipticity results needed for elliptic regularization in the third chapter are proved from scratch.

ISBN: 9783037195765

Standard No.: 10.4171/076doiSubjects--Topical Terms:

704075
Differential equations

Lectures on the ℒ2-Sobolev Theory of the ∂-Neumann problem
LDR:02248nmm a22003015a 4500 001 2233201
003 CH-001817-3
005 20100226234500.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20100226sz fot ||| 0|eng d
020 $a 9783037195765
024 7 0 $a 10.4171/076 $2 doi
035 $a 110-100226
040 $a ch0018173
072 7 $a PBKJ $2 bicssc
084 $a 32-xx $a 35-xx $2 msc
100 1 $a Straube, Emil J., $e author. $3 3480971
245 1 0 $a Lectures on the ℒ2-Sobolev Theory of the ∂-Neumann problem $h [electronic resource] / $c Emil J. Straube
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2010
300 $a 1 online resource (214 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 ESI Lectures in Mathematics and Physics (ESI)
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a This book provides a thorough and self-contained introduction to the ∂-Neumann problem, leading up to current research, in the context of the ℒ2-Sobolev theory on bounded pseudoconvex domains in ℂn. It grew out of courses for advanced graduate students and young researchers given by the author at the Erwin Schrödinger International Institute for Mathematical Physics and at Texas A&M University. The introductory chapter provides an overview of the contents and puts them in historical perspective. The second chapter presents the basic ℒ2-theory. Following is a chapter on the subelliptic estimates on strictly pseudoconvex domains. The two final chapters on compactness and on regularity in Sobolev spaces bring the reader to the frontiers of research. Prerequisites are a solid background in basic complex and functional analysis, including the elementary ℒ2-Sobolev theory and distributions. Some knowledge in several complex variables is helpful. Concerning partial differential equations, not much is assumed. The elliptic regularity of the Dirichlet problem for the Laplacian is quoted a few times, but the ellipticity results needed for elliptic regularization in the third chapter are proved from scratch.
650 0 7 $a Differential equations $3 704075
650 0 7 $a Several complex variables and analytic spaces $2 msc $3 3480813
650 0 7 $a Partial differential equations $2 msc. $3 1597893
856 4 0 $u https://doi.org/10.4171/076
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/straube.jpg