Strichartz Estimates for Schrödinger Equations on Scattering Manifolds
Strichartz Estimates for Schrödinger Equations on Scattering Manifolds
复制标题
DOI：
10.1080/03605302.2011.593017
复制
发表时间：
2012-01
影响因子：
1.9
通讯作者：
H. Mizutani
中科院分区：
文献类型：
--
作者：
H. Mizutani
本文研究了具有渐近圆锥端点的非紧黎曼流形上的薛定谔方程。它表明，任何容许对（包括端点），当地的时间Eschenhartz估计外的一个大的紧集集中在原点举行。此外，在非捕获条件下，我们证明了度量的空间上的全局Bohartz估计。
The present article is concerned with Schrödinger equations on non-compact Riemannian manifolds with asymptotically conic ends. It is shown that, for any admissible pair (including the endpoint), local in time Strichartz estimates outside a large compact set are centered at origin hold. Moreover, we prove global in space Strichartz estimates under the nontrapping condition on the metric.