无界域上部分耗散系统解的全局存在性和唯一性(英文)

为了包含常数解以及行波解等特殊形式的解,用加权空间作为相空间。考虑了带有任意阶多项式增长指数非线性项的部分耗散系统,证明了系统所对应的解在L_〈r〉~2(R^n)×L_〈r〉~2(R^n)(r＞n/2)中的全局存在性以及唯一性．

Global attractors associated with general partly dissipative reaction-diffusion systems in unbounded domains

The asymptotic behaviour of solutions for general partly dissipative reaction-diffusion systems in Rn is studied. The asymptotic compactness of the solutions and then the existence of the global attractor are proved in L2(Rn )× L2(Rn ) .