Coverart for item
The Resource Multi-layer potentials and boundary problems : for higher-order elliptic systems in Lipschitz domains, Irina Mitrea, Marius Mitrea

Multi-layer potentials and boundary problems : for higher-order elliptic systems in Lipschitz domains, Irina Mitrea, Marius Mitrea

Label
Multi-layer potentials and boundary problems : for higher-order elliptic systems in Lipschitz domains
Title
Multi-layer potentials and boundary problems
Title remainder
for higher-order elliptic systems in Lipschitz domains
Statement of responsibility
Irina Mitrea, Marius Mitrea
Creator
Contributor
Subject
Language
eng
Summary
Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. When the differential operator is of higher-order (as is the case, e.g., with anisotropic plate bending when one deals with a fourth order operator) only a few options could be successfully implemented. In the 1970s Alberto Calderón, one of the founders of the modern theory of Singular Integral Operators, advocated the use of layer potentials for the treatment of higher-order elliptic boundary value problems. The present monograph represents the first systematic treatment based on this approach. This research monograph lays, for the first time, the mathematical foundation aimed at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential method and addresses a comprehensive range of topics, dealing with elliptic boundary value problems in non-smooth domains including layer potentials, jump relations, non-tangential maximal function estimates, multi-traces and extensions, boundary value problems with data in Whitney-Lebesque spaces, Whitney-Besov spaces, Whitney-Sobolev- based Lebesgue spaces, Whitney-Triebel-Lizorkin spaces, Whitney-Sobolev-based Hardy spaces, Whitney-BMO and Whitney-VMO spaces
Member of
Cataloging source
HNK
http://library.link/vocab/creatorName
Mitrea, Irina
Dewey number
515.35
Index
index present
LC call number
QA379
LC item number
.M58 2013eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Mitrea, Marius
Series statement
Lecture notes in mathematics,
Series volume
2063
http://library.link/vocab/subjectName
  • Boundary value problems
  • Differential equations, Elliptic
  • Lipschitz spaces
  • Boundary value problems
  • Differential equations, Elliptic
  • Lipschitz spaces
  • Elliptisches System
  • Ordnung n
  • Randwertproblem
Label
Multi-layer potentials and boundary problems : for higher-order elliptic systems in Lipschitz domains, Irina Mitrea, Marius Mitrea
Instantiates
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction
  • Smoothness Scales and Calderón-Zygmund Theory in the Scalar-Valued Case
  • Function Spaces of Whitney Arrays
  • The Double Multi-Layer Potential Operator
  • The Single Multi-Layer Potential Operator
  • Functional Analytic Properties of Multi-Layer Potentials and Boundary Value Problems
Control code
823686652
Dimensions
unknown
Extent
1 online resource (x, 424 pages).
Form of item
online
Isbn
9783642326660
Lccn
2012951623
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-32666-0
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)823686652
Label
Multi-layer potentials and boundary problems : for higher-order elliptic systems in Lipschitz domains, Irina Mitrea, Marius Mitrea
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction
  • Smoothness Scales and Calderón-Zygmund Theory in the Scalar-Valued Case
  • Function Spaces of Whitney Arrays
  • The Double Multi-Layer Potential Operator
  • The Single Multi-Layer Potential Operator
  • Functional Analytic Properties of Multi-Layer Potentials and Boundary Value Problems
Control code
823686652
Dimensions
unknown
Extent
1 online resource (x, 424 pages).
Form of item
online
Isbn
9783642326660
Lccn
2012951623
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-32666-0
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)823686652

Library Locations

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      38.944491 -92.326012
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