该文证明了带有临界非线性项的非经典反应扩散方程{ut-Δut-Δu+f(x1,u)=g(x),(x,t)∈R^3×R^+ u(s,t)|t=0=u0, x∈R^3}在H^1(R^3)上的全局吸引子的存在性,推广和改进了文献[15]的结果.
We prove the existence of global attractor in H^1 (R^3) for the nonclassical diffusion equation with critical nonlinearity ut-Δut-Δu+f(x1,u)=g(x).The results generalize and improve some results in [15].