Global solutions to a chemotaxis system with non-diffusive memory

作者：Sugiyama Y; Tsutsui Y^*; Velazquez J J L

来源：Journal of Mathematical Analysis and Applications, 2014, 410(2): 908-917.

DOI：10.1016/j.jmaa.2013.08.065

• Chemotaxis system
• Global solutions

In this article, an existence theorem of global solutions with small initial data belonging to L-1 boolean AND L-p, (n < p <= infinity) for a chemotaxis system is given on the whole space R-n, n >= 3. In the case p = infinity, our global solution is integrable with respect to the space variable on some time interval, and then conserves the mass for a short time, at least. The system consists of a chemotaxis equation with a logarithmic term and an ordinary equation without diffusion term.

• 出版日期2014-2-15