Zakharov system on R^3

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  • Zakharov systems do not have a true scale invariance, but the critical regularity is (s0,s1) = (0,-1/2).
  • LWP for (1/2,0) [GiTsVl1997]
    • For (s0,s1) = (1,0) this was proven in [BoCo1996].
  • GWP for small smooth data is in [OzTs1994].
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