Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estimates

DOI10.1137/23m156923xzbMath1546.35186MaRDI QIDQ6598468

Filipe Oliveira, Jorge Drumond Silva, Simão Correia

Publication date: 5 September 2024

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

local well-posednessnonlinear smoothingdispersive nonlinear equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)

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