具有小于1阶标量型谱算子的抽象发展方程弱解的Gevrey超可微性
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one
摘要：
证明了复巴拿赫空间中具有标量型谱算子$A$的发展方程\begin{equation*} y'(t)=Ay(t),\ t\ge0, \end{equation*}的弱解是阶小于1的Gevrey超可微的，则算子$A$必然有界.
英文摘要：
It is shown that, if all weak solutions of the evolution equation \begin{equation*} y'(t)=Ay(t),\ t\ge0, \end{equation*} with a scalar type spectral operator $A$ in a complex Banach space are Gevrey ultradifferentiable of orders less than one, then the operator $A$ is necessarily bounded.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
