论文标题
具有多维时间和无限域中PDE的半群的吸引子
Attractors for semigroups with multi-dimensional time and PDEs in unbounded domains
论文作者
论文摘要
我们开发了具有多维时间属于欧几里得空间中某些封闭锥体的多维时间的吸引者理论，并将获得的一般结果应用于无界域中的部分微分方程（PDE）。主要关注椭圆边界问题在一般无界域中。与以前的作品相反，我们的理论不需要基础域是圆柱形或锥形的，也不需要相对于某些方向而言是半变动的。特别是，该理论适用于外部领域。
We develop the attractors theory for the semigroups with multidimensional time belonging to some closed cone in an Euclidean space and apply the obtained general results to partial differential equations (PDEs) in unbounded domains. The main attention is payed to elliptic boundary problems in general unbounded domains. In contrast to the previous works in this direction our theory does not require the underlying domain to be cylindrical or cone-like or to be shift semi-invariant with respect to some direction. In particular, the theory is applicable to the exterior domains.
