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March/April 2015 A priori bounds of stationary solutions of two dimensional Keller-Segel system on polygonal domains
Yoshifumi Mimura
Differential Integral Equations 28(3/4): 347-360 (March/April 2015).

Abstract

We consider a Neumann boundary problem like Gelfand'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 $\mathbb{R}^2$ with smooth boundaries. The novelty is that the foregoing specific parameters depend on angles of polygonal domains.

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Yoshifumi Mimura. "A priori bounds of stationary solutions of two dimensional Keller-Segel system on polygonal domains." Differential Integral Equations 28 (3/4) 347 - 360, March/April 2015.

Information

Published: March/April 2015
First available in Project Euclid: 4 February 2015

zbMATH: 1340.35050
MathSciNet: MR3306567

Subjects:
Primary: 35B45, 35J25, 35J60, 35J65

Rights: Copyright © 2015 Khayyam Publishing, Inc.

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Vol.28 • No. 3/4 • March/April 2015
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