Strichartz estimates for the Dirac equation on asymptotically flat manifolds

被引:0
|
作者
Cacciafesta, Federico [1 ]
DE Suzzoni, Anne-sophie [2 ]
Meng, Long [3 ]
机构
[1] Univ Padua, Dipartimento Matemat, Via Trieste 63, I-35131 Padua, PD, Italy
[2] Univ Paris Saclay, Ecole Polytech, CMLS, CNRS, F-91128 Saclay, France
[3] CERMICS, Ecole Ponts ParisTech, 6 & 8 Ave Pascal, F-77455 Marne La Vallee, France
基金
欧洲研究理事会;
关键词
WAVE-EQUATION; SCHRODINGER;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we prove Strichartz estimates for the Dirac equation on asymptotically flat manifolds. The proof combines the weak dispersive estimates proved in [5] with the Strichartz and smoothing estimates for the wave and Klein- Gordon flows, exploiting the results in [14] and [8, 18] in the same geometrical setting.
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页码:1799 / 1812
页数:14
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