Evolution families and maximal regularity for systems of parabolic equations
Evolution families and maximal regularity for systems of parabolic equations
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DOI：
10.57262/ade/1487386866
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发表时间：
2015-10
影响因子：
1.4
通讯作者：
C. Gallarati;M. Veraar
中科院分区：
文献类型：
--
作者：
C. Gallarati;M. Veraar
本文证明了一类抛物型偏微分方程组的极大L^p-正则性，其中椭圆算子A的系数以可测的方式依赖于时间，并且在空间变量上是连续的.证明是基于算子理论的方法和证明中的主要成分之一是建设一个加权L^q$-空间上的演化家庭。
In this paper we prove maximal $L^p$-regularity for a system of parabolic PDEs, where the elliptic operator $A$ has coefficients which depend on time in a measurable way and are continuous in the space variable. The proof is based on operator-theoretic methods and one of the main ingredients in the proof is the construction of an evolution family on weighted $L^q$-spaces.