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Analysis of the free boundary for the p-parabolic variational problem (p >= 2)
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-1316-7913
2003 (English)In: Revista matemática iberoamericana, ISSN 0213-2230, E-ISSN 2235-0616, Vol. 19, no 3, 797-812 p.Article in journal (Refereed) Published
Abstract [en]

Variational inequalities (free boundaries), governed by the p-parabolic equation (p : 2), are the objects of investigation in this paper. Using intrinsic scaling we establish the behavior of solutions near the free boundary. A consequence of this is that the time levels of the free boundary are porous (in N-dimension) and therefore its Hausdorff dimension is less than N. In particular the N-Lebesgue measure of the free boundary is zero for each t-level.

Place, publisher, year, edition, pages
2003. Vol. 19, no 3, 797-812 p.
Keyword [en]
variational problem, inhornogeneous p-parabolic equation, free boundary, porosity, equations
Identifiers
URN: urn:nbn:se:kth:diva-23370ISI: 000221115100003OAI: oai:DiVA.org:kth-23370DiVA: diva2:342068
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Shahgholian, Henrik

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