We show in this paper the conditionthat strongly elliptic differential operators with singular lower order coefficients belonging to a class of measurable functions which includes the Schecter potential class Mσ,τ,q generate analytic semigroups, particularly, the class includes Lp(Rn).
本文提出了低阶项系数具一定奇异性的高阶强椭圆微分算子生成解析半群的条 件,其包含了低阶项系数属于Schecter位势类的情形。
In this paper, by use of energy integral and some estimates of analytic semigroup, the existence of the exponential attractors of The Generalized 2D Ginzburg-Landau equations in Banach subspaces X-αof Lp(Ω) is proved.
本文应用能量积分和解析半群的有关估计,研究广义二维Ginzburg-Landau方程 在Banach空间LP(Ω)的子空间X-α的指数吸引子。
By using energy integral and some estimate of analytic semigroup,the existence of the exponential attractors of positive solutions for a kind of reactiondiffusion equations in Banach subspaces Xαp of Lp(Ω) is proved.
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。