ASYMPTOTIC DYNAMICS FOR REACTION DIFFUSION EQUATIONS IN UNBOUNDED DOMAIN

作者：Li, Yongjun^*; Wei, Jinying

来源：Journal of Applied Analysis and Computation, 2018, 8(4): 1186-1193.

DOI：10.11948/2018.1186

• Reaction diffusion equation
• semigroup
• exponential attractor

In this paper we study the asymptotic dynamics for reaction diffusion equation defined in R-n. We will prove that the equation possesses a fixed point when the nonlinearity satisfies some restrictive conditions and then we show that the fixed point is an exponential attractor.

• 出版日期2018-8
• 单位兰州城市学院