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Strichartz estimates for the Schrödinger equation on products of compact groups and odd-dimensional spheres
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2020-07-10 , DOI: 10.1016/j.na.2020.112052 Yunfeng Zhang
中文翻译:
Strichartz关于紧群和奇维球体乘积的薛定er方程的估计
更新日期:2020-07-10
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2020-07-10 , DOI: 10.1016/j.na.2020.112052 Yunfeng Zhang
We generalize the framework developed in (Anal. PDE 13 (4) (2020) 1173-1219) to prove certain Strichartz estimates which are scale-invariant up to an -loss on any product of compact groups and odd-dimensional spheres. Some partial results toward such Strichartz estimates on a general compact globally symmetric space are also given, including a kernel estimate sharp up to an -loss near rational times and near corners of a maximal torus.
中文翻译:
Strichartz关于紧群和奇维球体乘积的薛定er方程的估计
我们推广了(开发框架肛门。PDE 13(4)(2020)1173年至1219年),以证明某些的Strichartz估计这是规模不变长达一个致密群和奇数维球体的任何产品的损失。还给出了在一般紧致全局对称空间上对这种Strichartz估计的一些部分结果,包括直到-在合理时间和最大圆环的拐角附近损失。