The paper proves the existence of the maximal attractors for reaction diffusion systems in the whole space, and gives also the regularity and dimensional estimate for the maximal attractors.

• 本文将证明一类反应扩散方程组在全空间最大吸引子的存在性，并对该吸引子的正则性进行了详细讨论，还给出了该吸引子的维数估计。