Quintic NLW/NLKG on R
From DispersiveWiki
- Scaling is sc = 0.
- LWP for
by energy estimates and Sobolev (solution is in 
)
- For s < 3 / 10 one has ill-posedness CtCoTa-p2, indeed it is not even possible to make sense of solutions in the distributional sense.
- GWP for
in the defocussing case from energy conservation.
- It is overwhelmingly likely that one can lower this s index.
- In the focussing case there is blowup from large data by the ODE method.
