摘要
Theinteractionofthreeconormalwavesforsend-linearstrictlyhyperbolicequationsofthirdoederisconsidered.Let∑i:i=1,2,3,besmoothcharacteristicsurfacesforP=Di(D^2i-△)intersectingtransversallyattheorigin.SupposethatthesolutionutoPu=f(t,x,y,D^αu),|α|≤2isconormalto∑i:i=1,2,3,fort<0.TheauthorusesBony'ssecondmicrolocalizationtechniquesandcommutatorargumentstoconcludethatthenewsingularitiesashorttimeafterthetripleinteractionlieonthesurfaceofthelightconeΓovertheoriginplusthesurfacesobtainedbyflow-outsofthelinesofintersectionΓ(交集)∑iand∑i(交集)∑j,i,j=1,2,3.
出版日期
1995年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)