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Regularity of a parabolic free boundary problem with Hölder continuous coefficients
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-4309-9242
(English)Manuscript (preprint) (Other academic)
Identifiers
URN: urn:nbn:se:kth:diva-13506OAI: oai:DiVA.org:kth-13506DiVA: diva2:325918
Note
QC20100621Available from: 2010-06-21 Created: 2010-06-21 Last updated: 2010-06-21Bibliographically approved
In thesis
1. Monotonicity formulas and applications in free boundary problems
Open this publication in new window or tab >>Monotonicity formulas and applications in free boundary problems
2010 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis consists of three papers devoted to the study of monotonicity formulas and their applications in elliptic and parabolic free boundary problems. The first paper concerns an inhomogeneous parabolic problem. We obtain global and local almost monotonicity formulas and apply one of them to show a regularity result of a problem that arises in connection with continuation of heat potentials.In the second paper, we consider an elliptic two-phase problem with coefficients bellow the Lipschitz threshold. Optimal $C^{1,1}$ regularity of the solution and a regularity result of the free boundary are established.The third and last paper deals with a parabolic free boundary problem with Hölder continuous coefficients. Optimal $C^{1,1}\cap C^{0,1}$ regularity of the solution is proven.

Place, publisher, year, edition, pages
Stockholm: KTH, 2010. 37 p.
Keyword
Partial differential equations, PDE, Free boundary problems, Monotonicity formulas
National Category
Mathematical Analysis
Identifiers
urn:nbn:se:kth:diva-12405 (URN)978-91-7415-595-2 (ISBN)
Public defence
2010-05-07, F3, Lindstedtsvägen 26, Stockholm, 13:00 (English)
Opponent
Supervisors
Note
QC20100621Available from: 2010-04-20 Created: 2010-04-16 Last updated: 2010-06-21Bibliographically approved

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Lindgren, Erik

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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More styles
Language
  • de-DE
  • en-GB
  • en-US
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  • Other locale
More languages
Output format
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