Null Structures and Degenerate Dispersion Relations in Two Space Dimensions

DOI10.1093/IMRN/RNZ033zbMath1473.35006arXiv1801.00099OpenAlexW2964068218WikidataQ128496487 ScholiaQ128496487MaRDI QIDQ3382583

Daniel Tataru, Yuqiu Fu

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00099

zbMATH Keywords

cubic nonlinearitiesglobal well-posedness for small datalocalized Strichartz estimatesnonlinear dispersive PDEs in 2D

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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