Septic NLW/NLKG on R: Difference between revisions
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Revision as of 01:31, 29 July 2006
- 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.