Electron. J. Diff. Equ., Vol. 2015 (2015), No. 229, pp. 1-5.

Porosity of the free boundary for singular p-parabolic obstacle problems

Abdeslem Lyaghfouri

Abstract:
In this article we establish the exact growth of the solution to the singular quasilinear p-parabolic obstacle problem near the free boundary from which follows its porosity.

Submitted June 2, 2015. Published September 10, 2015.
Math Subject Classifications: 35K59, 35K67, 35K92, 35R35.
Key Words: Singular p-parabolic obstacle problem; free boundary; porosity.

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Abdeslem Lyaghfouri
American University of Ras Al Khaimah
Department of Mathematics and Natural Sciences
Ras Al Khaimah, UAE
email: abdeslem.lyaghfouri@aurak.ac.ae

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