Septic NLW/NLKG on R
From DispersiveWiki
- Scaling is sc = 1 / 6.
- LWP for
by energy estimates and Sobolev (solution is in 
)
- For s < 5 / 14 it is not even possible to make sense of the solution as a distribution (note there are no smoothing effects for the 1D wave equation!) and so there is ill-posedness CtCoTa-p2.
- GWP for s = 1 in the defocusing case by energy conservation. Presumably this is improvable.
