论文标题
部分可观测时空混沌系统的无模型预测
A type of oscillatory integral operator and its applications
论文作者
论文摘要
在本文中，我们考虑了$ l^p $ - 估计一类振荡性积分操作员，以进一步的凸出和直接假设满足Carleson-Sjölin条件。作为应用，讨论了与分数schrödinger方程的一般高斯曲率，局部平滑估计以及在统一界限范围之外的急剧分辨估计值有关的乘数问题。
In this paper, we consider $L^p$- estimate for a class of oscillatory integral operators satisfying the Carleson-Sjölin conditions with further convex and straight assumptions. As applications, the multiplier problem related to a general class of hypersurfaces with nonvanishing Gaussian curvature, local smoothing estimates for the fractional Schrödinger equation and the sharp resolvent estimates outside of the uniform boundedness range are discussed.
