Invariant measures and maximal L2 regularity for nonautonomous Ornstein–Uhlenbeck equations
Invariant measures and maximal L2 regularity for nonautonomous Ornstein–Uhlenbeck equations
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DOI：
10.1112/jlms/jdn009
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发表时间：
2008-01
期刊：
影响因子：
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通讯作者：
M. Geissert;A. Lunardi
中科院分区：
文献类型：
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作者：
M. Geissert;A. Lunardi
我们刻画了定义在L2空间中的线性抛物算子的实现的域关于一个合适的测度，该测度对于相关的演化半群是不变的。𝒢作为一个副产品，我们得到了最优的L2正则性结果的发展方程与时间依赖的Ornstein-Uhlenbeck算子。
We characterize the domain of the realizations of a linear parabolic operator 𝒢 defined in L2 spaces with respect to a suitable measure that is invariant for the associated evolution semigroup. As a byproduct, we obtain optimal L2 regularity results for evolution equations with time‐dependant Ornstein–Uhlenbeck operators.