The Resource Elliptic Regularity Theory : A First Course, by Lisa Beck, (electronic resource)

Elliptic Regularity Theory : A First Course, by Lisa Beck, (electronic resource)

Label
Elliptic Regularity Theory : A First Course
Title
Elliptic Regularity Theory
Title remainder
A First Course
Statement of responsibility
by Lisa Beck
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Beck, Lisa
Image bit depth
0
LC call number
QA370-380
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes of the Unione Matematica Italiana,
Series volume
19
http://library.link/vocab/subjectName
  • Mathematics
  • Partial differential equations
  • Calculus of variations
  • Mathematics
  • Partial Differential Equations
  • Calculus of Variations and Optimal Control; Optimization
Label
Elliptic Regularity Theory : A First Course, by Lisa Beck, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preliminaries -- Introduction to the Setting -- The Scalar Case -- Foundations for the Vectorial Case -- Partial Regularity Results for Quasilinear Systems
Dimensions
unknown
Extent
XII, 201 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319274850
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-27485-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-27485-0
Label
Elliptic Regularity Theory : A First Course, by Lisa Beck, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preliminaries -- Introduction to the Setting -- The Scalar Case -- Foundations for the Vectorial Case -- Partial Regularity Results for Quasilinear Systems
Dimensions
unknown
Extent
XII, 201 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319274850
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-27485-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-27485-0

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