Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions

• 作者: Kwadwo Antwi-Fordjour Marius Nkashama
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Activator-Inhibitor SYSTEM Gierer-Meinhardt SYSTEM Robin and NEUMANN Boundary Conditions GLOBAL EXISTENCE
• 年，卷（期）: yysxyw_2017,（6）
• 页码范围: 857-867
• 页数: 11页
• 分类号: O1

摘要

We study the global (in time) existence of nonnegative solutions of the Gierer-Meinhardt system with mixed boundary conditions. In the research, the Robin boundary and Neumann boundary conditions were used on the activator and the inhibitor conditions respectively. Based on the priori estimates of solutions, the considerable results were obtained.