On the Fourier Truncation Method for the Rough Data Cubic Defocusing NLW on $\mathbb{H}^3$
| Autor: | Ma, Chutian |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $H^s(\mathbb{H}^3)$, $s>\frac{182}{201}\approx 0.905$. |
| Databáze: | arXiv |
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