Zakharov system on R
- Zakharov systems do not have a true scale invariance, but the critical regularity is (s0,s1) = (-1,-3/2).
- LWP on R for (0,-1/2), or more generally whenever -1/2 < s0 - s1 £ 1 and 2s0³ s1 + 1/2 ³ 0 GiTsVl1997
- GWP on R for (9/10+,0) Pe-p.
- In the energy class (1,0) this was shown in GiTsVl1997.