東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Elliptic regularity theory = a first...

Beck, Lisa.

Linked to FindBook

Google Book

Amazon

博客來

Elliptic regularity theory = a first course /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Elliptic regularity theory/ by Lisa Beck.
Reminder of title:	a first course /
Author:	Beck, Lisa.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xii, 201 p. :ill., digital ;24 cm.
[NT 15003449]:	Preliminaries -- Introduction to the Setting -- The Scalar Case -- Foundations for the Vectorial Case -- Partial Regularity Results for Quasilinear Systems.
Contained By:	Springer eBooks
Subject:	Differential equations, Elliptic. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-27485-0
ISBN:	9783319274850

Elliptic regularity theory = a first course /
Beck, Lisa.

Elliptic regularity theorya first course /[electronic resource] :by Lisa Beck. - Cham :Springer International Publishing :2016. - xii, 201 p. :ill., digital ;24 cm. - Lecture notes of the Unione Matematica Italiana,191862-9113 ;. - Lecture notes of the Unione Matematica Italiana ;10..

Preliminaries -- Introduction to the Setting -- The Scalar Case -- Foundations for the Vectorial Case -- Partial Regularity Results for Quasilinear Systems.

These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur. The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics.

ISBN: 9783319274850

Standard No.: 10.1007/978-3-319-27485-0doiSubjects--Topical Terms:

541859
Differential equations, Elliptic.

LC Class. No.: QA377

Dewey Class. No.: 515.3533

Elliptic regularity theory = a first course /
LDR:02150nmm a2200325 a 4500 001 2036004
003 DE-He213
005 20161012160607.0
006 m d
007 cr nn 008maaau
008 161117s2016 gw s 0 eng d
020 $a 9783319274850 $q (electronic bk.)
020 $a 9783319274843 $q (paper)
024 7 $a 10.1007/978-3-319-27485-0 $2 doi
035 $a 978-3-319-27485-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.3533 $2 23
090 $a QA377 $b .B393 2016
100 1 $a Beck, Lisa. $3 2191796
245 1 0 $a Elliptic regularity theory $h [electronic resource] : $b a first course / $c by Lisa Beck.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xii, 201 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes of the Unione Matematica Italiana, $x 1862-9113 ; $v 19
505 0 $a Preliminaries -- Introduction to the Setting -- The Scalar Case -- Foundations for the Vectorial Case -- Partial Regularity Results for Quasilinear Systems.
520 $a These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur. The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics.
650 0 $a Differential equations, Elliptic. $3 541859
650 0 $a Analytic functions. $3 523876
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 898674
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes of the Unione Matematica Italiana ; $v 10. $3 1535986
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-27485-0
950 $a Mathematics and Statistics (Springer-11649)