波动方程的Sobolev-Strichartz估计

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2014-07-07 DOI:10.3934/ERA.2015.22.46

N. Bez, Chris Jeavons

引用次数: 11

摘要

我们计算了四个空间维度波动方程的$L^4$ Sobolev—Strichartz估计的尖锐常数，并在$\dot{H}^{\frac{3}{4}} \times \dot{H}^{-\frac{1}{4}}$中描述了极值初始数据。

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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A sharp Sobolev-Strichartz estimate for the wave equation

We calculate the the sharp constant and characterize the extremal initial data in $\dot{H}^{\frac{3}{4}} \times \dot{H}^{-\frac{1}{4}}$ for the $L^4$ Sobolev--Strichartz estimate for the wave equation in four spatial dimensions.

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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007