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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)

Creator
Contributor
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
Work
Publication
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
Instance
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
Creator
Contributor
Thesis advisor
Subject
Genre
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)
Instantiates
Publication
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)
Publication
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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