反应扩散方程组解的渐近性质

ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF REACTION—DIFFUSION SYSTEMS

本文利用 L_p 估计、半群理论和 Liapunov 泛函方法,讨论一类反应扩散方程组齐次 Neumann 初边值问题解的渐近性质。证明了解 u(x,t)与其在Ω上的平均(?)(t)有相同的极限。

Asymptotic behavior of solutions for a class of reaction—diffusion syst-ems,with homogeneous Neumann boundary conditions,are discussed by usingL^p estimates,semigroup theory and Liapunov functional methods.It is provedthat the solution u(x,t)of the initial boundary value problem has the samelimit as it's average (?)(x)over Ω.