Weighted Strichartz Estimates for the Radial Perturbed Schrödinger Equation on the Hyperbolic Space

被引：0
作者：
Vittoria Pierfelice
机构：
[1] University of Pisa,Department of Mathematics
来源：
manuscripta mathematica | 2006年 / 120卷
关键词：
Cauchy Problem; Global Existence; Hyperbolic Space; Radial Function; Dispersive Property;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we study the radial Schrödinger equation perturbed with a rough time dependent potential on the hyperbolic space. It is natural to expect that the curvature of the manifold has some influence on the dispersive properties, indeed we obtain the weighted Strichartz estimates for the perturbed Cauchy problem. We shall notice that our weighted Strichartz estimates makes possible to treat the nonlinearity of the form g(Ω, u) which are unbounded as |Ω| → ∞.
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页码：377 / 389
页数：12
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