3 < p < 5 的径向、散焦、非线性波方程的全局拟合优度

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2024-01-18 DOI:10.1353/ajm.2024.a917538

Benjamin Dodson

引用次数: 0

摘要

摘要:在本文中，我们继续研究位于临界索波列夫空间的径向初始数据的离焦、能量次临界非线性波方程。在这种情况下，我们证明了当 $3<p<5$ 时临界法中的散射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global well-posedness for the radial, defocusing, nonlinear wave equation for 3 < p < 5

abstract:

In this paper we continue the study of the defocusing, energy-subcritical nonlinear wave equation with radial initial data lying in the critical Sobolev space. In this case we prove scattering in the critical norm when $3<p<5$.

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来源期刊

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.