A PRIORI BOUNDS OF STATIONARY SOLUTIONS OF TWO DIMENSIONAL KELLER-SEGEL SYSTEM ON POLYGONAL DOMAINS

作者：Mimura Yoshifumi^*

来源：Differential and Integral Equations, 2015, 28(3-4): 347-360.

We consider a Neumann boundary problem like Ge Hand's problem on polygonal domains and prove that a priori bounds of solutions fail for specific parameters. The same results are already proved by Senba-Suzuki in 2000 when domains are open sets in R-2 with smooth boundaries. The novelty is that the foregoing specific parameters depend on angles of polygonal domains.

• 出版日期2015-4