非经典反应扩散方程在R^3中全局吸引子的存在性

Attractors for the Nonclassical Diffusion Equations with Critical Nonlinearity on the Whole Space R^3

该文证明了带有临界非线性项的非经典反应扩散方程{vt-Δvt-Δu+f(x1,u)=g(x),(x,t)∈R3×R+ u(s,t)|t=0=v0, x∈R3}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].