关于环上的准线性薛定谔方程

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-02-15 DOI:10.1007/s10231-024-01428-0

Felice Iandoli

引用次数: 0

摘要

我们改进了 Feola 和 Iandoli (J Math Pures Appl 157:243-281, 2022) 的结果，表明如果 \(s>d/2+3\) ，准线性哈密顿薛定谔类型方程在 \(H^s({{\mathbb {T}}^d)\) 上是很好拟合的。）我们利用了 Berti 等人开发的关于 \({{\mathbb {T}}}^d\) 的尖锐范微积分（J Dyn Differ Equ 33(3):1475-1513, 2021）。

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On the quasilinear Schrödinger equations on tori

We improve the result by Feola and Iandoli (J Math Pures Appl 157:243–281, 2022), showing that quasilinear Hamiltonian Schrödinger type equations are well posed on \(H^s({{\mathbb {T}}}^d)\) if \(s>d/2+3\). We exploit the sharp paradifferential calculus on \({{\mathbb {T}}}^d\) developed by Berti et al. (J Dyn Differ Equ 33(3):1475–1513, 2021).

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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