Regularity properties of two-phase free boundary problems
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
This thesis consists of four papers which are all related to the regularity properties of free boundary problems. The problems considered have in common that they have some sort of two-phase behaviour.In papers I-III we study the interior regularity of different two-phase free boundary problems. Paper I is mainly concerned with the regularity properties of the free boundary, while in papers II and III we devote our study to the regularity of the function, but as a by-product we obtain some partial regularity of the free boundary.The problem considered in paper IV has a somewhat different nature. Here we are interested in certain approximations of the obstacle problem. Two major differences are that we study regularity properties close to the fixed boundary and that the problem converges to a one-phase free boundary problem.
Place, publisher, year, edition, pages
Stockholm: KTH , 2009. , viii, 36 p.
Trita-MAT. MA, ISSN 1401-2278 ; 09:07
IdentifiersURN: urn:nbn:se:kth:diva-10336ISBN: 978-91-7415-288-3OAI: oai:DiVA.org:kth-10336DiVA: diva2:214797
2009-06-05, F3, Lindstedtsvägen 26, KTH, 14:00 (English)
Monneau, Regis, Professor
Shah gholian, Henrik, Professor
QC 201007282009-05-262009-05-062010-07-28Bibliographically approved
List of papers