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Local well-posedness for the quantum Zakharov system in three and higher dimensions
- 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.
- Subjects :
- General Mathematics
010102 general mathematics
Mathematics::Analysis of PDEs
Zakharov system
01 natural sciences
010101 applied mathematics
symbols.namesake
Fourier transform
Norm (mathematics)
symbols
Initial value problem
Applied mathematics
0101 mathematics
Unit (ring theory)
Quantum
Analysis
Well posedness
Mathematics
Subjects
Details
- ISSN :
- 17936993 and 02198916
- Volume :
- 18
- Database :
- OpenAIRE
- Journal :
- Journal of Hyperbolic Differential Equations
- Accession number :
- edsair.doi...........2cdc2705fa63c0778a5795f97d8f0c08