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- Title
A DEGENERATE p-LAPLACIAN KELLER-SEGEL MODEL.
- Authors
WENTING CONG; JIAN-GUO LIU
- Abstract
This paper investigates the existence of a uniform in time L∞ 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 Rd under the condition that the L d(3p) 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 L¹∩L∞ initial data.
- Subjects
DEGENERATE differential equations; LAPLACIAN operator; EXISTENCE theorems; DATA analysis; DIFFUSION processes
- Publication
Kinetic & Related Models, 2016, Vol 9, Issue 4, p687
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2016012