PPT Slide

F = ?(?) • ?t? • ?t?
Same scaling as Wave Maps

FACT 3: Gap Phenomenon, Strichartz

Ill Posed, in general, for s ? sc + 1/2.

WP for s > sc +1/2

• Energy estimates

• Strichartz inequalities

F = ? • ?t? + ?3

Yang Mills in Lorentz gauge

Sc= n/2

Sc= (n-2)/2

? = F (?,? ?)
? = f ? Hs(Rn), ?t ? = g ? Hs-1 (Rn) at t = 0

n = 3

WORKING CONJECTURES - WP

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