Porosity of the Free Boundary in the Singular p-Parabolic Obstacle Problem
Abdeslem Lyaghfouri
TL;DR
This paper investigates the behavior of solutions to the singular p-parabolic obstacle problem near the free boundary, establishing their precise growth rate and deducing the porosity of the free boundary.
Contribution
It provides the first exact growth characterization of solutions near the free boundary in the singular p-parabolic obstacle problem.
Findings
Determined the exact growth rate of solutions near the free boundary.
Proved the porosity of the free boundary in the problem.
Enhanced understanding of free boundary regularity in singular p-parabolic problems.
Abstract
In this paper we establish the exact growth of the solution of the singular quasilinear p-parabolic obstacle problem near the free boundary from which we deduce its porosity.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows · Advanced Mathematical Modeling in Engineering