非齐次二阶抽象 Cauchy问题解的一个注记

在Banach空间X上,非齐次二阶抽象Cauchy问题的解是人们多年来一直讨论的对象,在该问题温和解存在的条件下,如果对函数f(t)添加一些限制条件,通过构建一个强连续算子半群并对该半群无穷小生成元进行讨论,可以得到结论:该问题的温和解是古典解。

A Note on Inhomogeneous Second Order Abstract Cauchy Problem Solution

In Banach space X , the inhomogeneous second order abstract Cauchy problem is the object that has been studied for many years.Under the condition of the mild solution of this problem, by adding some restricted conditions on f(t) , through constructing a strongly continuous semigroups and analyzing the infinitesimal generator of this semigroups , it can be concluded that the mild solution is a classical solution .