# Zakharov system on R^3

From DispersiveWiki

The theory for the Zakharov system on R^3 is as follows.

- The Zakharov system does not have a true scale invariance, but the critical regularity is (s0,s1) = (0,-1/2).
- Local well-posedness for (1/2,0) (GiTsVl1997)
- For (s0,s1) = (1,0) this was proven in BoCo1996.

- GWP for small smooth data is in OzTs1994.