Erratum: Degenerate diffusion with a drift potential: A viscosity solution approach
Author:
- Inwon C. KimIKInwon C. Kim
Preprint
Abstract
The earlier paper [LK] (arXiv:0910.3432) contains a lower bound of the solution in terms of its $L^1$ norm, which is incorrect. In this note we explain the mistake and present a correction to it under the restriction that the permeability constant $m$ satisfies $1< m <2$. As a consequence, the quantitative estimates on the convergence rate (Main Theorem (c) and Theorem 3.6 in [LK] only hold for $1<m<2$. For $m\geq 2$ a partial convergence rate is obtained.
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- Harnack estimates for quasi-linear degenerate parabolic differential equationsActa Mathematica, 2008