The Resource Topics in geometric analysis with applications to partial differential equations, by Simona Barb, (electronic resource)

Topics in geometric analysis with applications to partial differential equations, by Simona Barb, (electronic resource)

Label
Topics in geometric analysis with applications to partial differential equations
Title
Topics in geometric analysis with applications to partial differential equations
Statement of responsibility
by Simona Barb
Creator
Contributor
Thesis advisor
Subject
Genre
Language
eng
Summary
The main aim of the current thesis is to investigate the mathematical tools and methods used to study problems which bridge between analysis and geometry. Such an undertaking is particularly useful in situations in which the geometry is variable, such as: · the theory of minimal surfaces, in differential geometry · shape analysis and optimization · engineering modeling · (elasticity phenomena for beams, plates, shells, etc) · free or moving boundary problems · certain variational problems in partial differential equations A common feature of the above circumstances is that the underlying geometry is the variable one wishes to study. From a historical point of view, the basic principles and methods employed in the treatment of such problems originated in rather distinct fields of applied and theoretical mathematics, and have traditionally evolved on distinct, parallel paths. Our ultimate goal is to provide alternative, conceptually simpler approaches to some of the basic results in these fields
Cataloging source
MUU
http://library.link/vocab/creatorDate
1967-
http://library.link/vocab/creatorName
Barb, Simona
Degree
Ph. D.
Dissertation year
2009.
Granting institution
University of Missouri--Columbia
Illustrations
illustrations
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
  • Geometric analysis
  • Boundary value problems
  • Minimal surfaces
  • Continuum mechanics
Target audience
specialized
Label
Topics in geometric analysis with applications to partial differential equations, by Simona Barb, (electronic resource)
Instantiates
Publication
Note
  • Title from PDF of title page (University of Missouri--Columbia, viewed on September 13, 2010)
  • The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file
  • Dissertation advisor: Dr. Marius Mitrea
  • Vita
Bibliography note
Includes bibliographical references
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
695595977
Extent
1 online resource (xi, 230 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)695595977
Label
Topics in geometric analysis with applications to partial differential equations, by Simona Barb, (electronic resource)
Publication
Note
  • Title from PDF of title page (University of Missouri--Columbia, viewed on September 13, 2010)
  • The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file
  • Dissertation advisor: Dr. Marius Mitrea
  • Vita
Bibliography note
Includes bibliographical references
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
695595977
Extent
1 online resource (xi, 230 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)695595977

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