非经典抛物方程的一致吸引子

Uniform attractors for nonautonomous nonclassical parabolic equations

在不考虑非线性项拓扑的情况下,当外力项仅是平移有界时分别得到了非自治非经典反应扩散方程在L^2(Ω)和H_0~1中一致吸引子的存在性.

The existence of uniform attractors was proved in L^2 （Ω） and H0^1, respectively, for non-autonomous nonclassical reaction-diffusion equations when external forces were only translation bounded in Lloc^2（R; X）. Especially, it was not necessary to consider the topology of the nonlinearity.