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 M≤8π. Our proof is based on some monotonicity formulas of nonnegative mild solutions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have