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MULTILINEAR OSCILLATORY INTEGRALS AND ESTIMATES FOR COUPLED SYSTEMS OF DISPERSIVE PDES
Uppsala Univ, Sweden.
Stockholm Univ, Sweden.
Linköping University, Department of Mathematics, Analysis and Mathematics Education. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-8976-8299
Uppsala Univ, Sweden.
2023 (English)In: Transactions of the American Mathematical Society, ISSN 0002-9947, E-ISSN 1088-6850, Vol. 376, p. 7555-7601Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
AMER MATHEMATICAL SOC , 2023. Vol. 376, p. 7555-7601
Keywords [en]
Multilinear oscillatory integral operators; systems of dispersive PDEs
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-200096DOI: 10.1090/tran/8991ISI: 001120955900001OAI: oai:DiVA.org:liu-200096DiVA, id: diva2:1827760
Note

Funding Agencies|Research School in Interdisciplinary Mathematics at Linkoping University [PID2020-113048GB-I00]

Available from: 2024-01-15 Created: 2024-01-15 Last updated: 2024-10-22Bibliographically approved

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Rule, David

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