A DEGENERATE p-LAPLACIAN KELLER-SEGEL MODEL

作者：Cong, Wenting^*; Liu, Jian-Guo

来源：Kinetic and Related Models, 2016, 9(4): 687-714.

DOI：10.3934/krm.2016012

• Chemotaxis
• fast diffusion
• critical space
• global existence
• monotone operator
• non-Newtonian filtration

This paper investigates the existence of a uniform in time bounded weak solution for the p-Laplacian Keller-Segel system with the supercritical diffusion exponent 1 < p < 3d/d+1 in the multi-dimensional space R-d d(3 p) under the condition that the L-p(d(3-p)) norm of initial data is smaller than a universal constant. We also prove the local existence of weak solutions and a blow-up criterion for general L-1 boolean AND L-infinity initial data.

• 出版日期2016-12
• 单位吉林大学