• DOI:10.1137/120874278
• Corpus ID: 15731896

Addendum to "Relative Newtonian Potentials of Radial Functions and Asymptotics in Nonlinear Diffusion"

@article{Chung2013AddendumT,
  title={Addendum to "Relative Newtonian Potentials of Radial Functions and Asymptotics in Nonlinear Diffusion"},
  author={Jaywan Chung and Yong Jung Kim},
  journal={SIAM J. Math. Anal.},
  year={2013},
  volume={45},
  pages={728-731}
}

• Jaywan Chung, Yong Jung Kim
• Published 2013
• Mathematics
• SIAM J. Math. Anal.

Theorem 9.7 of Lieb and Loss [Analysis, AMS, Providence, RI, 2000] is an extended version of Newton's theorem and was cited in the authors' previously published paper [SIAM J. Math. Anal., 43 (2011), pp. 1975--1994]. However, the statement of this theorem is incorrect for dimensions $d\le2$. A couple of comments and, in particular, Figure 1 in the authors' paper [SIAM J. Math.\Anal., 43 (2011), pp. 1975--1994] are based on this theorem and are incorrect because of this reason. In this note we show another extended version of Newton's theorem and provide a corrected figure. This correction makes the arguments in the original paper more general.