PPT Slide

METHODS: Null Frames

e+

e-

||? ?(t)|| |Hs ? 1 s > n/2, t ? 0 ,

implies

|e? ?(t,x)| ? C(1+ t + |x|)-(n+1)/2 (1+ t - |x|)-1/2

|eA ?(t,x)| ? C(1+ t + |x|)-(n+1)/2 (1+ t - |x|)-1/2

|e- ?(t,x)| ? C(1+ t + |x|)-(n-1)/2 (1+ t - |x|)-1/2-1

e? = ?t ? ?r , eA A = 1, … n - 1
< eA,e? > = 0, < eA,eB > = ?AB

(?r = ? i xi /|x| ?i ),

Proposition

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