| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8896792 | Journal of Functional Analysis | 2018 | 14 Pages |
Abstract
In this paper, we prove that for every nonnegative initial data in L1(R2), the Patlak-Keller-Segel equation is globally well-posed if and only if the total mass Mâ¤8Ï. Our proof is based on some monotonicity formulas of nonnegative mild solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Dongyi Wei,