Analysis of the free boundary for the p-parabolic variational problem (p >= 2)
2003 (English)In: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 19, no 3, 797-812 p.Article in journal (Refereed) Published
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.
variational problem, inhornogeneous p-parabolic equation, free boundary, porosity, equations
IdentifiersURN: urn:nbn:se:kth:diva-23370ISI: 000221115100003OAI: oai:DiVA.org:kth-23370DiVA: diva2:342068
QC 201005252010-08-102010-08-10Bibliographically approved