Banach空间中二阶微分方程的适定性（英文）

Well-posedness of second order differential equations in Banach spaces

证明了二阶微分方程u″(t)=Au(t)+f(t)的(W^(2,p),W^(2,p))适定性等价于Lp-适定性,其中A为某一Banach空间X上的线性闭算子,且1≤p<∞。

The （W^2.p,W^2.p）-mild well-posedness for the second order differential equation （P） ： u＂（t）=Au（t）f（t） on R is proved to be equivalent to the L^p-wellposedness,where A is a densely defined closed linear operator on a Banach space X and 1≤p〈∞.