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The Resource Elliptic Regularity Theory : A First Course, by Lisa Beck, (electronic resource)
Elliptic Regularity Theory : A First Course, by Lisa Beck, (electronic resource)
Resource Information
The item Elliptic Regularity Theory : A First Course, by Lisa Beck, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Elliptic Regularity Theory : A First Course, by Lisa Beck, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 These lecture notes provide a selfcontained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalarvalued weak solutions, the presentation focuses on vectorvalued 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
 Language
 eng
 Extent
 XII, 201 p.
 Contents

 Preliminaries
 Introduction to the Setting
 The Scalar Case
 Foundations for the Vectorial Case
 Partial Regularity Results for Quasilinear Systems
 Isbn
 9783319274850
 Label
 Elliptic Regularity Theory : A First Course
 Title
 Elliptic Regularity Theory
 Title remainder
 A First Course
 Statement of responsibility
 by Lisa Beck
 Language
 eng
 Summary
 These lecture notes provide a selfcontained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalarvalued weak solutions, the presentation focuses on vectorvalued 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
 http://library.link/vocab/creatorName
 Beck, Lisa
 Image bit depth
 0
 LC call number
 QA370380
 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)
 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
 10.1007/9783319274850
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319274850
 Label
 Elliptic Regularity Theory : A First Course, by Lisa Beck, (electronic resource)
 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
 10.1007/9783319274850
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319274850
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