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Gradient estimates for the conductivity problems

Descriptive

TitleInfo (displayLabel = Citation Title); (type = uniform)
Title
Gradient estimates for the conductivity problems
Name (ID = NAME001); (type = personal)
NamePart (type = family)
Bao
NamePart (type = given)
ShiTing
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ShiTing Bao
Role
RoleTerm (authority = RULIB)
author
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NamePart (type = family)
Li
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YanYan
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Advisory Committee
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YanYan Li
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chair
Name (ID = NAME003); (type = personal)
NamePart (type = family)
Han
NamePart (type = given)
Zheng-Chao
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Advisory Committee
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Zheng-Chao Han
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internal member
Name (ID = NAME004); (type = personal)
NamePart (type = family)
Vogelius
NamePart (type = given)
Michael
Affiliation
Advisory Committee
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Michael Vogelius
Role
RoleTerm (authority = RULIB)
internal member
Name (ID = NAME005); (type = personal)
NamePart (type = family)
Kang
NamePart (type = given)
Hyeonbae
Affiliation
Advisory Committee
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Hyeonbae Kang
Role
RoleTerm (authority = RULIB)
outside member
Name (ID = NAME006); (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (ID = NAME007); (type = corporate)
NamePart
Graduate School - New Brunswick
Role
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school
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Text
Genre (authority = marcgt)
theses
OriginInfo
DateCreated (qualifier = exact)
2008
DateOther (qualifier = exact); (type = degree)
2008-05
Language
LanguageTerm
English
PhysicalDescription
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electronic
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application/pdf
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text/xml
Extent
v, 72 pages
Abstract
We establish both upper and lower bounds of the gradient estimates for solutions to the perfect conductivity problem in the case where perfect (stiff) conductors are closely spaced inside an open bounded domain. These results give the optimal blow-up rates of the stress for conductors with arbitrary shape and in all
dimensions. While for solutions to the insulated conductivity problem we also obtain an upper bound of the gradient estimates.
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references (p. 69-71).
Subject (ID = SUBJ1); (authority = RUETD)
Topic
Mathematics
Subject (ID = SUBJ2); (authority = ETD-LCSH)
Topic
Differential equations
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TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.17272
Identifier
ETD_839
Location
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NjNbRU
Identifier (type = doi)
doi:10.7282/T3WS8TM4
Genre (authority = ExL-Esploro)
ETD doctoral
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The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
AssociatedEntity (AUTHORITY = rulib); (ID = 1)
Name
ShiTing Bao
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
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Type
Permission or license
Detail
Non-exclusive ETD license
AssociatedObject (AUTHORITY = rulib); (ID = 1)
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License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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Technical

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