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Local well-posedness for the quantum Zakharov system in three and higher dimensions

Authors :
Isao Kato
Source :
Journal of Hyperbolic Differential Equations. 18:257-270
Publication Year :
2021
Publisher :
World Scientific Pub Co Pte Ltd, 2021.

Abstract

We study the Cauchy problem associated with a quantum Zakharov-type system in three and higher spatial dimensions.Taking the quantum parameter to unit and developing Fourier restriction norm arguments, we establish local well-posedness property for wider range than the one known for the Zakharov system.

Details

ISSN :
17936993 and 02198916
Volume :
18
Database :
OpenAIRE
Journal :
Journal of Hyperbolic Differential Equations
Accession number :
edsair.doi...........2cdc2705fa63c0778a5795f97d8f0c08