论文标题
在非频交动力学中的log-convex衰减标准上
On a criterion for log-convex decay in non-selfadjoint dynamics
论文作者
论文摘要
研究了短时和全局行为，用于由希尔伯特空间中统一的全态半群的发电机定义的自主线性进化方程。处理溶液规范时间内对数跨的一般标准。在初始时间的严格降低和可不同之处，由负面发生器的下限控制的衍生物，事实证明，该衍生物以相等的数值和光谱横坐标被严格积聚。
The short-time and global behaviour are studied for autonomous linear evolution equations defined by generators of uniformly bounded holomorphic semigroups in a Hilbert space. A general criterion for log-convexity in time of the norm of the solution is treated. Strict decrease and differentiability at the initial time results, with a derivative controlled by the lower bound of the negative generator, which is proved strictly accretive with equal numerical and spectral abscissas.
