An improved local well-posedness result for the one-dimensional
Zakharov system
Author/Authors :
Hartmut Pecher، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Pages :
15
From page :
1440
To page :
1454
Abstract :
The 1D Cauchy problem for the Zakharov system is shown to be locally well-posed for low regularity Schrödinger data u0 ∈
Hk,p and wave data (n0,n1) ∈
Hl,p×
Hl−1,p under certain assumptions on the parameters k, l and 1
Keywords :
Fourier restriction norm method , well-posedness , Zakharov system