Septic NLW/NLKG on R2

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Scaling is $s c = 2 / 3$ .
LWP for by Strichartz estimates (LbSo1995)
- For $s < s c$ one has instantaneous blowup in the focusing case, and unbounded growth of $H s$ norms in the defocusing case (CtCoTa-p2)
GWP for s > 6 / 7 in the defocusing case (Fo-p)
- For $s \geq 1$ this follows from energy conservation.

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Categories: Wave | Equations

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