Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs-Reference-Cited by-同舟云学术

Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs

Published:2023-08-22 Issue: Volume: Page:
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bergfeldt Aksel,Rodríguez-López Salvador,Rule David,Staubach Wolfgang

Abstract

We establish sharp global regularity of a class of multilinear oscillatory integral operators that are associated to nonlinear dispersive equations with both Banach and quasi-Banach target spaces. As a consequence we also prove the (local in time) continuous dependence on the initial data for solutions of a large class of coupled systems of dispersive partial differential equations.

Funder

Ministerio de Ciencia e InnovaciÃ³n

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/0000-000-00/S0002-9947-2023-08991-7/tran8991_AM.pdf

Reference18 articles.

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