论文标题
径向立方散热器在3D双曲空间上散射的结果
A Scattering Result of the Radial Cubic Defocusing Schrödinger Equation on the 3d Hyperbolic Space
论文作者
论文摘要
在本文中，我们在三维双曲空间上研究了CupicSchrödinger方程$ \ MATHBB {H}^3 $在Sobolev Space $ H^S（0 <s <1）$中的径向初始数据。我们的主要结果是，初始值问题在全球范围内进行了充分的量，并且分散了$ \ frac {15} {16} <s <1 $。这是Staffilani和Yu的工作延伸到三维双曲线空间。
In this paper, we study the defocusing cubic Schrödinger equation on three dimensional hyperbolic space $\mathbb{H}^3$ with radial initial data in the Sobolev Space $H^s(0<s<1)$. Our main result is that the initial value problem is globally wellposed and scatters for $\frac{15}{16}<s<1$. This is an extension of the work of Staffilani and Yu to the three dimensional hyperbolic space.
