三变量二次型解耦:一个完整的表征

arXiv: Classical Analysis and ODEs Pub Date : 2019-12-09 DOI:10.4171/RMI/1332

Shaoming Guo, Changkeun Oh, J. Roos, Po-Lam Yung, Pavel Zorin-Kranich

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引用次数: 5

摘要

我们证明了$\mathbb{R}^5$中所有余维数为2的退化曲面的尖锐解耦不等式。结合Demeter, Guo和Shi之前在非退化情况下的工作(arXiv:1609.04107)，本文提供了三变量二次型对解耦不等式的分类。

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Decoupling for two quadratic forms in three variables: a complete characterization

We prove sharp decoupling inequalities for all degenerate surfaces of codimension two in $\mathbb{R}^5$ given by two quadratic forms in three variables. Together with previous work by Demeter, Guo, and Shi in the non-degenerate case (arXiv:1609.04107), this provides a classification of decoupling inequalities for pairs of quadratic forms in three variables.

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arXiv: Classical Analysis and ODEs

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