Analysis of the free boundary for the $p$-parabolic variational problem $(p\ge 2)$
Shahgholian, Henrik
Rev. Mat. Iberoamericana, Tome 19 (2003) no. 2, p. 797-812 / Harvested from Project Euclid
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Variational inequalities (free boundaries), governed by the $p$-parabolic equation ($p\geq 2$), 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.
Publié le : 2003-12-14
Classification:  variational problem,  inhomogeneous $p$-parabolic equation,  free boundary,  porosity,  35K55,  35K85,  35K65,  35R35 
@article{1077293806,
     author = {Shahgholian, Henrik},
     title = {Analysis of the free boundary for the $p$-parabolic variational 
problem $(p\ge 2)$},
     journal = {Rev. Mat. Iberoamericana},
     volume = {19},
     number = {2},
     year = {2003},
     pages = { 797-812},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1077293806}
}

Shahgholian, Henrik. Analysis of the free boundary for the $p$-parabolic variational 
problem $(p\ge 2)$. Rev. Mat. Iberoamericana, Tome 19 (2003) no. 2, pp.  797-812. http://gdmltest.u-ga.fr/item/1077293806/