Erratum: Degenerate diffusion with a drift potential: A viscosity solution approach

preprint2010arXivOpen access

Abstract

The earlier paper [LK] (arXiv:0910.3432) contains a lower bound of the solution in terms of its L1L^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 mm satisfies 1<m<21< 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<21<m<2. For m≥2m\geq 2 a partial convergence rate is obtained.

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