一类发展方程指数吸引子的存在性

Existence of exponential attractors for a class of evolution equations

通过使用加强的平坦性条件对一类带记忆项非经典扩散方程的长时间行为进行研究,得到了时间依赖空间上指数吸引子的存在性。值得注意的是非线性项f满足任意阶多项式增长且外力项g∈H^(-1)(Ω)。

The long-time behavior for a class of nonclassical diffusion equations with memory term mainly is considered by using the enhanced flatness condition,and the existence of exponential attractors on time-dependent space is obtained.It's remarkable that the nonlinearity f satisfies the polynomial growth of arbitraryorder and the external force term g∈H^(-1)(Ω).