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
this follows from energy conservation.
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