Differential and Integral Equations
- Differential Integral Equations
- Volume 12, Number 6 (1999), 789-810.
Well-posedness for the Zakharov system with the periodic boundary condition
Under a non resonance condition, we establish the unique local existence results in weak function spaces for the initial value problem of the Zakharov system with the periodic boundary condition. The proof is based on the Fourier restriction norm method, which was developed by J. Bourgain and C.E. Kenig, G. Ponce and L. Vega.
Differential Integral Equations, Volume 12, Number 6 (1999), 789-810.
First available in Project Euclid: 29 April 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Takaoka, Hideo. Well-posedness for the Zakharov system with the periodic boundary condition. Differential Integral Equations 12 (1999), no. 6, 789--810. https://projecteuclid.org/euclid.die/1367241476