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The Resource Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster

Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster

Label
Trace/extension operators in rough domains and applications to partial differential equations
Title
Trace/extension operators in rough domains and applications to partial differential equations
Statement of responsibility
by Kevin Brewster
Creator
Contributor
Author
Thesis advisor
Subject
Genre
Language
eng
Summary
Trace and extension theory lay the foundation for solving a plethora of boundary value problems. In developing this theory, one typically needs well-behaved extension operators from a specified domain to the entire Euclidean space. Historically, three extension operators have developed much of the theory in the setting of Lipschitz domains (and rougher domains); those due to A.P. Calderþon, E.M. Stein, and P.W. Jones. In this dissertation, we generalize Steins extension operator to weighted Sobolev spaces and Jones extension operator to domains with partially vanishing traces. We then develop a rich trace/extension theory as a tool in solving a Poisson boundary value problem with Dirichlet boundary condition where the differential operator in question is of second order in divergence form with bounded coefficients satisfying the Legendre-Hadamard ellipticity condition
Cataloging source
MUU
http://library.link/vocab/creatorDate
1982-
http://library.link/vocab/creatorName
Brewster, Kevin
Degree
PhD
Dissertation note
Thesis
Dissertation year
2015.
Government publication
government publication of a state province territory dependency etc
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
  • Differential equations, Partial
  • Sobolev spaces
Label
Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster
Instantiates
Publication
Note
  • "A Dissertation presented to the Faculty of the Graduate School University of Missouri In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy."
  • Dissertation supervisor: Dr. Marius Mitrea
  • Includes vita
Bibliography note
Includes bibliographical references (pages 207-212)
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
958295049
Extent
1 online resource (iv, 213 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)958295049
Label
Trace/extension operators in rough domains and applications to partial differential equations, by Kevin Brewster
Publication
Note
  • "A Dissertation presented to the Faculty of the Graduate School University of Missouri In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy."
  • Dissertation supervisor: Dr. Marius Mitrea
  • Includes vita
Bibliography note
Includes bibliographical references (pages 207-212)
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
958295049
Extent
1 online resource (iv, 213 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)958295049

Library Locations

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      38.944491 -92.326012
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