反应扩散系统全局解的一致有界性和收敛性
Uniform boundedness and convergence of global solutions to reaction-diffusion system

利用Gagliardo-Nirenberg不等式估计抛物型系统（P）的解不依赖时间的H1范数有界，从而得到系统的全局解及其一致有界性，最后得解的收敛性.
Applying Gagliardo-Nirenberg type inequalities，we estimate the boundness of H1-norm to the solutions which independ on time. Thus we establish global solutions to (P) and their uniform boundness，finally we prove the convergence with some more certain conditions