Abstract
We study a system of parabolic equations introduced by E.F. Keller and L.A. Segel to describe the chemotactic feature of slime molds. Concentration toward the boundary is shown for the blowup solution with the total mass less than $8\pi$. For this purpose, a variant of the concentration lemma of Chang and Yang's type, and also a parabolic version of an inequality due to Brezis and Merle, are provided.
Citation
Go Harada. Toshitaka Nagai. Takasi Senba. Takashi Suzuki. "Concentration lemma, Brezis-Merle type inequality, and a parabolic system of chemotaxis." Adv. Differential Equations 6 (10) 1255 - 1280, 2001. https://doi.org/10.57262/ade/1357140394
Information
