A Note on L-infinity-Bound and Uniqueness to a Degenerate Keller-Segel Model

作者：Liu, Jian-Guo; Wang, Jinhuan^*

来源：Acta Applicandae Mathematicae, 2016, 142(1): 173-188.

DOI：10.1007/s10440-015-0022-5

• Displacement convexity
• Log-Lipschitz
• Yudovich's type theorem
• Stability in Wasserstein metric

In this note we establish the uniform L-infinity-bound for the weak solutions to a degenerate Keller-Segel equation with the diffusion exponent 2n/n+2 < m < 2- 2/n under a sharp condition on the initial data for the global existence. As a consequence, the uniqueness of the weak solutions is also proved.

• 出版日期2016-4
• 单位辽宁大学