MAIN OPEN PROBLEMS
Initial Data at t=0 _=f, _t _ = g
Known Facts
4 Global Regularity for other Supercritical Equations
_ - Ví(_) = 0, R_R3
V = _ p+1
Subcritical p < 5
Critical p = 5
Supercritical p > 5
Global regularity for all data
For any smooth initial data there exists
a T>0 and a unique solution in [0,T]_R3.
The solution can be smoothly continued
as long as
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