Local well-posedness for the quantum Zakharov system

Yung Fu Fang, Kuan Hsiang Wang

研究成果: Article同行評審

摘要

We consider the quantum Zakharov system in spatial dimensions greater than 1. The local well-posedness is obtained for initial data of the electric field and of the ion density lying in some Sobolev spaces with certain regularities. For higher dimensions, the results cover the subcritical region. We get major part of the subcritical region for lower dimensions. For the quantum Zakharov system with initial data possessing the critical regularities, the local well-posedness is also proved for spatial dimensions greater than 7. As the quantum parameter approaches zero, we prove the local well-posedness for Zakharov system which improves the known result.

原文English
頁(從 - 到)1383-1411
頁數29
期刊Communications in Mathematical Sciences
18
發行號5
DOIs
出版狀態Published - 2020

All Science Journal Classification (ASJC) codes

  • 數學(全部)
  • 應用數學

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