Well-posedness of second order degenerate differential equations in Holder continuous function spaces
Well-posedness of second order degenerate differential equations in Holder continuous function spaces
复制标题
Holder连续函数空间中二阶简并微分方程的适定性
DOI：
10.1016/j.exmath.2015.07.003
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发表时间：
2016
影响因子：
0.7
通讯作者：
Cai Gang
中科院分区：
文献类型：
--
作者：
Bu Shangquan;Cai Gang
利用向量值Hölder连续函数空间上算子值C α-Fourier乘子的结果，完全刻画了Banach空间X上二阶退化微分方程（Mu）″（t）= Au（t）+ f（t）（t∈ R）和（Mu ′）′（t）= Au（t）+ f（t）（t∈ R）的C α-适定性，其中A，M是闭算子，0< α< 1.
Using operator-valued C ̇ α-Fourier multiplier results on vector-valued Hölder continuous function spaces, we completely characterize the C α-well-posedness of the second order degenerate differential equations (M u)″(t)= A u (t)+ f (t)(t∈ R) and (M u′)′(t)= A u (t)+ f (t)(t∈ R), where A, M are closed operators on a Banach space X and 0< α< 1.