期刊论文

Yao, Xiao Hua

英文

数学学报：英文版

1439-8516

2018

34

4

773-786

10.1007/s10114-018-7343-z

Received July 21, 2017, accepted November 16, 2017 The first and third author is supported by the China National Science Foundation (Grant Nos. 11371158 and 11771165) and the second author is supported by the China National Science Foundation (Grant Nos. 11101172 and 11571131) 1) Corresponding author

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Based on the endpoint Strichartz estimates for the fourth order Schrodinger equation with potentials for n ≥ 5 by [Feng, H., Soffer, A., Yao, X.: Decay estimates and Strichartz estimates of the fourth-order Schrodinger operator. J. Funct. Anal., 274, 605–658(2018)], in this paper, the authors further derive Strichartz type estimates with gain of derivatives similar to the one in [Pausader, B.: The cubic fourth-order Schrodinger equation. J. Funct. Anal., 256, 2473–2517(2009)]. As their applications, we combine the classical Morawetz estimate...

为第四顺序 Schr 把估计基于端点 Strichartz ? 有为 n 的潜力的 dinger 方程 5 旁边[冯， H. ， Soffer， A. ，瑶族， X. ：第四顺序的 Schr 的腐烂估计和 Strichartz 估计 ? dinger 操作员。J。Funct。肛门， 274， 605-658 (2018 )] 在这份报纸，作者进一步与类似于那个的衍生物的获得导出 Strichartz 类型估计在[Pausader， B. ：立方的第四顺序的 Schr ? dinger 方程。J。Funct。肛门， 256， 2473-2517 (2009 )] 。作为他们的应用，我们联合古典 Morawetz 估计和相互作用 Morawetz 估计证实为散焦在精力空间散布理论有潜力和纯力量非线性\的第四顺序 NLS ( 1 + \frac { 8 }{ n }< p < 1 ...