Mixed Norm <i>l</i>2 Decoupling for Paraboloids-Reference-Cited by-同舟云学术

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Mixed Norm l2 Decoupling for Paraboloids

Published:2023-09-27 Issue:20 Volume:2023 Page:17972-18000
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Dasu Shival¹,Jung Hongki²,Li Zane Kun³,Madrid José⁴

Affiliation:

1. Department of Mathematics , Indiana University Bloomington, Bloomington, IN 47405, USA

2. Department of Mathematics , Louisiana State University, Baton Rouge, LA 70803, USA

3. Department of Mathematics , North Carolina State University, Raleigh, NC 27695, USA

4. Department of Mathematics , Virginia Tech, Blacksburg, VA 24061, USA

Abstract

Abstract We prove the sharp mixed norm $(l^{2}, L^{q}_{t}L^{r}_{x})$ decoupling estimate for the paraboloid in $d + 1$ dimensions.

Funder

NSF

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/20/17972/52414584/rnad226.pdf

Reference10 articles.

1. On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation;Barron;Anal. PDE,2021

2. The space ${L}^p$, with mixed norm;Benedek;Duke Math. J.,1961

3. Estimates for the kinetic transport equation in hyperbolic Sobolev spaces;Bennett;J. Math. Pures Appl.,2018

4. The proof of the ${l}^2$ decoupling conjecture;Bourgain;Ann. Math. (2),2015

5. Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds;Burq;Am. J. Math.,2004

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