The Resource Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster
Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster
Resource Information
The item Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster 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 Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster 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
- Trace and extension theory lay the foundation for solving a plethora of boundary value problems. In developing this theory, one typically needs well-behaved extension operators from a specified domain to the entire Euclidean space. Historically, three extension operators have developed much of the theory in the setting of Lipschitz domains (and rougher domains); those due to A.P. Calderþon, E.M. Stein, and P.W. Jones. In this dissertation, we generalize Steins extension operator to weighted Sobolev spaces and Jones extension operator to domains with partially vanishing traces. We then develop a rich trace/extension theory as a tool in solving a Poisson boundary value problem with Dirichlet boundary condition where the differential operator in question is of second order in divergence form with bounded coefficients satisfying the Legendre-Hadamard ellipticity condition
- Language
- eng
- Extent
- 1 online resource (iv, 213 pages)
- Note
-
- "A Dissertation presented to the Faculty of the Graduate School University of Missouri In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy."
- Dissertation supervisor: Dr. Marius Mitrea
- Includes vita
- Label
- Trace/extension operators in rough domains and applications to partial differential equations
- Title
- Trace/extension operators in rough domains and applications to partial differential equations
- Statement of responsibility
- by Kevin Brewster
- Language
- eng
- Summary
- Trace and extension theory lay the foundation for solving a plethora of boundary value problems. In developing this theory, one typically needs well-behaved extension operators from a specified domain to the entire Euclidean space. Historically, three extension operators have developed much of the theory in the setting of Lipschitz domains (and rougher domains); those due to A.P. Calderþon, E.M. Stein, and P.W. Jones. In this dissertation, we generalize Steins extension operator to weighted Sobolev spaces and Jones extension operator to domains with partially vanishing traces. We then develop a rich trace/extension theory as a tool in solving a Poisson boundary value problem with Dirichlet boundary condition where the differential operator in question is of second order in divergence form with bounded coefficients satisfying the Legendre-Hadamard ellipticity condition
- Cataloging source
- MUU
- http://library.link/vocab/creatorDate
- 1982-
- http://library.link/vocab/creatorName
- Brewster, Kevin
- Degree
- PhD
- Dissertation note
- Thesis
- Dissertation year
- 2015.
- Government publication
- government publication of a state province territory dependency etc
- Granting institution
- University of Missouri--Columbia
- Index
- no index present
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- theses
- http://library.link/vocab/relatedWorkOrContributorName
- Mitrea, Marius
- http://library.link/vocab/subjectName
-
- Differential equations, Partial
- Sobolev spaces
- Label
- Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster
- Note
-
- "A Dissertation presented to the Faculty of the Graduate School University of Missouri In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy."
- Dissertation supervisor: Dr. Marius Mitrea
- Includes vita
- Bibliography note
- Includes bibliographical references (pages 207-212)
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Control code
- 958295049
- Extent
- 1 online resource (iv, 213 pages)
- Form of item
- online
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Specific material designation
- remote
- System control number
- (OCoLC)958295049
- Label
- Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster
- Note
-
- "A Dissertation presented to the Faculty of the Graduate School University of Missouri In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy."
- Dissertation supervisor: Dr. Marius Mitrea
- Includes vita
- Bibliography note
- Includes bibliographical references (pages 207-212)
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Control code
- 958295049
- Extent
- 1 online resource (iv, 213 pages)
- Form of item
- online
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Specific material designation
- remote
- System control number
- (OCoLC)958295049
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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/Traceextension-operators-in-rough-domains-and/uxGdfmegSZs/" 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/Traceextension-operators-in-rough-domains-and/uxGdfmegSZs/">Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster</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>
