Septic NLW/NLKG on R2

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  • Scaling is .
  • LWP for by Strichartz estimates (LbSo1995)
    • For one has instantaneous blowup in the focusing case, and unbounded growth of norms in the defocusing case (CtCoTa-p2)
  • GWP for in the defocusing case (Fo-p)
    • For this follows from energy conservation.