Global well-posedness and scattering for the Zakharov system at the critical space in three spatial dimensions with small and radial initial data

DOI10.1016/j.jmaa.2022.126667zbMath1500.35260OpenAlexW4295940560MaRDI QIDQ2084861

Shinya Kinoshita, Isao Kato

Publication date: 13 October 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126667

zbMATH Keywords

radial solutionsCauchy problemscatteringStrichartz estimatesthree-dimensional Zakharov system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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