Septic NLW/NLKG on R
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- Scaling is .
- LWP for by energy estimates and Sobolev (solution is in )
- For 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 in the defocusing case by energy conservation. Presumably this is improvable.