反应扩散方程在Banach空间的指数吸引子

The exponential attractors for reaction-diffusion equations in Banach spaces

应用能量积分和解析半群的有关估计,证明了一类非线性项为任意次多项式的反应扩散方程非负解在Banach空间Lp(Ω)的子空间Xαp的指数吸引子的存在性.

By using energy integral and some estimate of analytic semigroup,the existence of the exponential attractors of positive solutions for a kind of reactiondiffusion equations in Banach subspaces Xαp of Lp(Ω) is proved.In this equation the nonlinear term is the polynomial with any order.