The Zakharov system in dimension \(d \geq 4\)

DOI10.4171/jems/1212zbMath1519.35284arXiv1912.05820MaRDI QIDQ6172697

Kenji Nakanishi, Timothy Candy, Sebastian Herr

Publication date: 20 July 2023

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05820

zbMATH Keywords

scatteringglobal well-posednesslocal well-posednessill-posednessZakharov system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Scattering theory for PDEs (35P25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)

Related Items (3)

Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system ⋮ Local well-posedness of a system describing laser-plasma interactions ⋮ Concentration compactness for the energy critical Zakharov system

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