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On the regularity of a free boundary near contact points with a fixed boundary
Max Planck Institute, Leipzig.
2007 (English)In: Journal of Differential Equations, ISSN 0022-0396, E-ISSN 1090-2732, Vol. 232, no 1, 285-302 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the regularity of a free boundary near contact points with a fixed boundary, with C boundary data, for an obstacle-like free boundary problem. We will show that under certain assumptions on the solution, and the boundary function, the free boundary is uniformly C 1 up to the fixed boundary. We will also construct some examples of irregular free boundaries.

Place, publisher, year, edition, pages
2007. Vol. 232, no 1, 285-302 p.
Keyword [en]
OBSTACLE PROBLEM
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-24243DOI: 10.1016/j.jde.2006.06.012ISI: 000243310800010OAI: oai:DiVA.org:kth-24243DiVA: diva2:345993
Note
QC 20100830Available from: 2010-08-30 Created: 2010-08-30 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Free boundary problems and global solutions in half spaces
Open this publication in new window or tab >>Free boundary problems and global solutions in half spaces
2005 (English)Doctoral thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH, 2005. 10 p.
Series
Trita-MAT. MA, ISSN 1401-2278 ; 2005:06
Keyword
Mathematics, MATEMATIK
National Category
Mathematics
Identifiers
urn:nbn:se:kth:diva-195 (URN)91-7178-065-3 (ISBN)
Public defence
2005-05-20, Sal D3, Lindstedtsvägen 5, Stockholm, 10:00
Opponent
Supervisors
Note
QC 20100830. Tidigare titel: Free boundary regularity near the fixed boundary. Titel ändrad 20100830 i enlighet med den tryckta avhandlingen.Available from: 2005-05-16 Created: 2005-05-16 Last updated: 2010-08-30Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf