Porosity of the free boundary for p-parabolic type equations in non-divergence form
G.C. Ricarte
TL;DR
This paper investigates the precise growth behavior of solutions to a singular p-parabolic free boundary problem in non-divergence form, revealing the porosity of the free boundary.
Contribution
It establishes the exact growth rate of solutions near the free boundary for the first time in this context.
Findings
Determined the exact growth rate of solutions near the free boundary.
Proved the porosity of the free boundary in the p-parabolic problem.
Abstract
In this article we establish the exact growth of the solution to the singular quasilinear p-parabolic free boundary problem in non-divergence form near the free boundary from which follows its porosity.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Geometric Analysis and Curvature Flows