当$d = 2,3$和$u_0$为径向时，具有代数非线性的非线性Schrödinger方程的全局适定性和散射

IF 1.8 2区数学 Q1 MATHEMATICS

Cambridge Journal of Mathematics Pub Date : 2019-01-01 DOI:10.4310/cjm.2019.v7.n3.a2

B. Dodson

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引用次数: 6

摘要

本文讨论了一些˙H 1亚临界初值问题的全局适定性和散射性。我们证明了H s, s b> sc中径向数据的全局适定性和散射性，其中初值问题是˙H sc临界。我们利用bb0的长时间Strichartz估计来做到这一点。

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Global well-posedness and scattering for nonlinear Schrödinger equations with algebraic nonlinearity when $d = 2,3$ and $u_0$ is radial

In this paper we discuss global well-posedness and scattering for some initial value problems that are ˙ H 1 subcritical. We prove global well-posedness and scattering for radial data in H s , s > s c , where the initial value problem is ˙ H s c -critical. We make use of the long time Strichartz estimates of [13] to do this.

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来源期刊

Cambridge Journal of Mathematics MATHEMATICS-

CiteScore

3.10

自引率

0.00%

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