arXiv Open Access 2023

On the Fourier Truncation Method for the Rough Data Cubic Defocusing NLW on $\mathbb{H}^3$

Chutian Ma

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Abstrak

In this paper, we study the cubic defocusing nonlinear wave equation on the three dimensional hyperbolic space. We use the Fourier truncation method to show that the equation is globally well-posed and scatters if the initial data lies in $H^s(\mathbb{H}^3)$, $s>\frac{182}{201}\approx 0.905$.

Topik & Kata Kunci

math.AP

Penulis (1)

Chutian Ma

Format Sitasi

APA MLA BibTeX

Ma, C. (2023). On the Fourier Truncation Method for the Rough Data Cubic Defocusing NLW on $\mathbb{H}^3$. https://arxiv.org/abs/2303.00852

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓