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The Resource Boundary value problems for the Stokes system in arbitrary Lipschitz domains, Marius Mitrea & Matthew Wright

Boundary value problems for the Stokes system in arbitrary Lipschitz domains, Marius Mitrea & Matthew Wright

Label
Boundary value problems for the Stokes system in arbitrary Lipschitz domains
Title
Boundary value problems for the Stokes system in arbitrary Lipschitz domains
Statement of responsibility
Marius Mitrea & Matthew Wright
Creator
Contributor
Subject
Language
  • eng
  • fre
  • eng
Summary
The goal of this work is to treat the main boundary value problems for the Stokes system, i.e., (i) the Dirichlet problem with Lp-data and nontangential maximal function estimates, (ii) the Neumann problem with Lp-data and nontangential maximal function estimates, (iii) the Regularity problem with Lp1-data and nontangential maximal function estimates, (iv) the transmission problem with Lp-data and nontangential maximal function estimates, (v) the Poisson problem with Dirichlet condition in Besov-Triebel-Lizorkin spaces, (vi) the Poisson problem with Neumann condition in Besov-Triebel-Lizorkin spaces, in Lipschitz domains of arbitrary topology in Rn, for each n [greater than or equal to] 2. Our approach relies on boundary integral methods and yields constructive solutions to the aforementioned problems
Member of
Cataloging source
BTCTA
http://library.link/vocab/creatorName
Mitrea, Marius
Illustrations
illustrations
Index
no index present
Language note
Abstract also in French
LC call number
  • QA379
  • QA1
LC item number
  • .M58 2012
  • .A82 no.344
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Wright, Matthew (Matthew Ephraim)
  • Société mathématique de France
Series statement
Astérisque,
Series volume
344
http://library.link/vocab/subjectName
  • Boundary value problems
  • Differential equations, Elliptic
Label
Boundary value problems for the Stokes system in arbitrary Lipschitz domains, Marius Mitrea & Matthew Wright
Instantiates
Publication
Note
Revision of Matthew Wright's 2008 Ph.D. dissertation where Marius Mitrea was dissertation supervisor
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Smoothness spaces and Lipschitz domains -- 3. Rellich identities for divergence form, second-order systems -- 4. The Stokes system and hydrostatic potentials -- 5. The Lp[superscript] transmission problem with p near 2 -- 6. Local L2 estimates -- 7. The transmission problem in two and three dimensions -- 8. Higher dimensions -- 9. Boundary value problems in bounded Lipschitz domains -- 10. The Poisson problem for the Stokes system -- 11. Appendix
Control code
813048595
Dimensions
24 cm
Extent
viii, 241 pages
Isbn
9782856293430
Isbn Type
(pbk.)
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)813048595
Label
Boundary value problems for the Stokes system in arbitrary Lipschitz domains, Marius Mitrea & Matthew Wright
Publication
Note
Revision of Matthew Wright's 2008 Ph.D. dissertation where Marius Mitrea was dissertation supervisor
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Smoothness spaces and Lipschitz domains -- 3. Rellich identities for divergence form, second-order systems -- 4. The Stokes system and hydrostatic potentials -- 5. The Lp[superscript] transmission problem with p near 2 -- 6. Local L2 estimates -- 7. The transmission problem in two and three dimensions -- 8. Higher dimensions -- 9. Boundary value problems in bounded Lipschitz domains -- 10. The Poisson problem for the Stokes system -- 11. Appendix
Control code
813048595
Dimensions
24 cm
Extent
viii, 241 pages
Isbn
9782856293430
Isbn Type
(pbk.)
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)813048595

Library Locations

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