Work

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

Year: 2022

Type: article

Abstract: 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, this provides a classification of decoupling inequalities for pairs of quadratic forms in three variables.

Source: Revista Matemática Iberoamericana

DOI: 10.4171/rmi/1332

Authors: Shaoming Guo, Changkeun Oh, Joris Roos, Po-Lam Yung, Pavel Zorin-Kranich

Institutions: Australian National University, University of Massachusetts Lowell, University of Bonn, University of Wisconsin–Madison, Chinese University of Hong Kong

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2993343205

FWCI: 0.677

Cites: 28

Cited by: 4

Related to: 10