Journal
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS
Volume 14, Issue 1, Pages 157-192Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219891617500059
Keywords
Quantum Zakharov system; local well-posedness; quantum parameter
Categories
Funding
- MOST(Taiwan)
- NCTS(Taiwan)
Ask authors/readers for more resources
We consider the quantum Zakharov system in one spatial dimension and establish a local well-posedness theory when the initial data of the electric field and the deviation of the ion density lie in a Sobolev space with suitable regularity. As the quantum parameter approaches zero, we formally recover a classical result by Ginibre, Tsutsumi, and Velo. We also improve their result concerning the Zakharov system and a result by Jiang, Lin, and Shao concerning the quantum Zakharov system.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available