Well-posedness of degenerate differential equations in Hölder continuous function spaces
Well-posedness of degenerate differential equations in Hölder continuous function spaces
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DOI：
10.1007/s11464-014-0368-4
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发表时间：
2014-04
影响因子：
--
通讯作者：
Shangquan Bu
中科院分区：
文献类型：
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作者：
Shangquan Bu
利用向量值Hölder连续函数空间上已知的算子值傅立叶乘子结果，我们完全刻画了退化微分方程(Mu)‘(T)=Au(T)+f(T)fort∈ℝ在Hölder连续函数空间Cα(ℝ；X中的适定性-预解式OFA，其中A和M是满足D(A)⊂D(M)的Banach空间上的闭算子.
Using known operator-valued Fourier multiplier results on vectorvalued Hölder continuous function spaces, we completely characterize the wellposedness of the degenerate differential equations (Mu)′(t) =Au(t) +f(t) fort∈ ℝ in Hölder continuous function spacesCα(ℝ;X) by the boundedness of theM-resolvent ofA, whereAandMare closed operators on a Banach spaceXsatisfyingD(A) ⊂D(M).