# Analysis of the free boundary for the p-parabolic variational problem (p ≥ 2).

Revista Matemática Iberoamericana (2003)

- Volume: 19, Issue: 3, page 797-812
- ISSN: 0213-2230

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topShahgholian, Henrik. "Analysis of the free boundary for the p-parabolic variational problem (p ≥ 2).." Revista Matemática Iberoamericana 19.3 (2003): 797-812. <http://eudml.org/doc/39643>.

@article{Shahgholian2003,

abstract = {Abstract 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.},

author = {Shahgholian, Henrik},

journal = {Revista Matemática Iberoamericana},

keywords = {Ecuaciones parabólicas; Problemas de frontera libre; Problemas variacionales; variational parabolic; nonlinear inequality; intrinsic scaling; regularity of free boundary},

language = {eng},

number = {3},

pages = {797-812},

title = {Analysis of the free boundary for the p-parabolic variational problem (p ≥ 2).},

url = {http://eudml.org/doc/39643},

volume = {19},

year = {2003},

}

TY - JOUR

AU - Shahgholian, Henrik

TI - Analysis of the free boundary for the p-parabolic variational problem (p ≥ 2).

JO - Revista Matemática Iberoamericana

PY - 2003

VL - 19

IS - 3

SP - 797

EP - 812

AB - Abstract 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.

LA - eng

KW - Ecuaciones parabólicas; Problemas de frontera libre; Problemas variacionales; variational parabolic; nonlinear inequality; intrinsic scaling; regularity of free boundary

UR - http://eudml.org/doc/39643

ER -

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