The Resource Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces, by Tunde Jakab, (electronic resource)

Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces, by Tunde Jakab, (electronic resource)

Label
Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces
Title
Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces
Statement of responsibility
by Tunde Jakab
Creator
Contributor
Thesis advisor
Subject
Genre
Language
eng
Summary
We adapt the method of boundary layer potentials to the Poisson problem for the heat operator [partial differential]t [delta] in a bounded Lipschitz cylinder, with Dirichlet and Neumann boundary conditions. When the lateral datum has a fractional amount of smoothness measured at the Besov scale with parabolic anisotropy, the well-posedness of these problems is obtained in a constructive fashion. More specifically, the solution can be represented as a double layer potential in the Dirichlet case, and as a single layer potential in the Neumann case. The main theorems we prove extend, generalize and bring together many earlier results, such as the work of E. Fabes and N. Rivière (1978) for C1 domains; R. Brown (1990) for integer amount of smoothness; D. Jerison and C. Kenig (1995),and E. Fabes, O. Mendez and M. Mitrea (1998) who dealt with the case of the Laplacian
Cataloging source
MUU
http://library.link/vocab/creatorDate
1974-
http://library.link/vocab/creatorName
Jakab, Tunde
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
  • Partial differential operators
  • Besov spaces
  • Boundary value problems
Target audience
specialized
Label
Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces, by Tunde Jakab, (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 (February 27, 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
85374818
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)85374818
System details
Mode of access: World Wide Web
Label
Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces, by Tunde Jakab, (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 (February 27, 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
85374818
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)85374818
System details
Mode of access: World Wide Web

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