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The Resource Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains, by Qiang Shi, (electronic resource)
Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains, by Qiang Shi, (electronic resource)
Resource Information
The item Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains, by Qiang Shi, (electronic resource) 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 all library branches.
Resource Information
The item Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains, by Qiang Shi, (electronic resource) 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 all library branches.
- Summary
- This thesis derives the sharp estimates for the transmission boundary value problems (TBVP) for Dirac operators in Lipschitz domains in the three dimensional setting. Most of the transmission problems considered in the literature fall under several categories, depending on the nature of the domain and solution. First, there is the class of problems in domains with su±ciently smooth boundaries. Second, there is the class of problems in domains with isolated singularities. Weak (variational) solutions for transmission problems in Lipschitz domains and strong solutions in Dahlberg's sense for transmission problems in Lipschitz domains were discussed in various literatures. Compared to previous work on transmission problems, our results are the first to establish well-posedness and optimal estimates in arbitrary Lipschitz domains. Applications to the transmission boundary value problems of the system of Maxwells equations are also presented in the last chapter of this thesis
- Language
- eng
- Note
-
- The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file
- Title from title screen of research.pdf file viewed on (May 1, 2007)
- Vita
- Label
- Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains
- Title
- Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains
- Statement of responsibility
- by Qiang Shi
- Language
- eng
- Summary
- This thesis derives the sharp estimates for the transmission boundary value problems (TBVP) for Dirac operators in Lipschitz domains in the three dimensional setting. Most of the transmission problems considered in the literature fall under several categories, depending on the nature of the domain and solution. First, there is the class of problems in domains with su±ciently smooth boundaries. Second, there is the class of problems in domains with isolated singularities. Weak (variational) solutions for transmission problems in Lipschitz domains and strong solutions in Dahlberg's sense for transmission problems in Lipschitz domains were discussed in various literatures. Compared to previous work on transmission problems, our results are the first to establish well-posedness and optimal estimates in arbitrary Lipschitz domains. Applications to the transmission boundary value problems of the system of Maxwells equations are also presented in the last chapter of this thesis
- Cataloging source
- MUU
- http://library.link/vocab/creatorDate
- 1976-
- http://library.link/vocab/creatorName
- Shi, Qiang
- Degree
- Ph.D.
- Dissertation year
- 2006.
- 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
-
- Boundary value problems
- Dirac equation
- Maxwell equations
- Target audience
- specialized
- Label
- Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains, by Qiang Shi, (electronic resource)
- Note
-
- The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file
- Title from title screen of research.pdf file viewed on (May 1, 2007)
- Vita
- Bibliography note
- Includes bibliographical references
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- black and white
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Control code
- 123906320
- Dimensions
- unknown
- Form of item
- electronic
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Specific material designation
- remote
- System control number
- (OCoLC)123906320
- System details
- Mode of access: World Wide Web
- Label
- Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains, by Qiang Shi, (electronic resource)
- Note
-
- The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file
- Title from title screen of research.pdf file viewed on (May 1, 2007)
- Vita
- Bibliography note
- Includes bibliographical references
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- black and white
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Control code
- 123906320
- Dimensions
- unknown
- Form of item
- electronic
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Specific material designation
- remote
- System control number
- (OCoLC)123906320
- System details
- Mode of access: World Wide Web
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Engineering Library & Technology CommonsBorrow itW2001 Lafferre Hall, Columbia, MO, 65211, US38.946102 -92.330125
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Journalism LibraryBorrow it102 Reynolds Jrnlism Institute, Columbia, MO, 65211, US38.947290 -92.328025
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Mathematical Sciences LibraryBorrow it104 Ellis Library, Columbia, MO, 65201, US38.944377 -92.326537
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University ArchivesBorrow itColumbia, MO, 65201, US
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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/Sharp-estimates-of-the-transmission-boundary/67grAtb-39E/" 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/Sharp-estimates-of-the-transmission-boundary/67grAtb-39E/">Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains, by Qiang Shi, (electronic resource)</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>