＜正＞ In this paper,the authors investigate the first boundary value problem for equations ofthe formwithAn existence theorem of solution in BV1,1/2（QT）is proved.The principal condition is thatthere exists δ＞0 such that for any（x,t）∈QT,|u|≤Maij（u,x,t）ξiξj-δ(axθij（u,x,t）ξi)~2≥0.a, =1
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