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
Resource Information
The item Multi-layer potentials and boundary problems : for higher-order elliptic systems in Lipschitz domains, Irina Mitrea, Marius Mitrea represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Multi-layer potentials and boundary problems : for higher-order elliptic systems in Lipschitz domains, Irina Mitrea, Marius Mitrea represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (x, 424 pages).
- 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
- Isbn
- 9783642326660
- 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
- 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
- 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
- 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
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Multi-layer-potentials-and-boundary-problems-/fRvSwqEoNvw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Multi-layer-potentials-and-boundary-problems-/fRvSwqEoNvw/">Multi-layer potentials and boundary problems : for higher-order elliptic systems in Lipschitz domains, Irina Mitrea, Marius Mitrea</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
