论文标题
具有局部和非本地时间衍生物的抛物线方程的加权混合符号估计方法
An approach for weighted mixed-norm estimates for parabolic equations with local and non-local time derivatives
论文作者
论文摘要
当系数仅在时间变量中可测量时，我们提供了一种统一的方法，以非散发形式进行加权混合正式估计以及通常的时间分数抛物线方程的溶解度。在空间变量中，领先的系数本地具有较小的平均振荡。我们的结果将未混合的$ L_P $估算的未重量估算的结果扩展到[6]中的先前结果。
We give a unified approach to weighted mixed-norm estimates and solvability for both the usual and time fractional parabolic equations in nondivergence form when coefficients are merely measurable in the time variable. In the spatial variables, the leading coefficients locally have small mean oscillations. Our results extend the previous result in [6] for unmixed $L_p$-estimates without weights.
