Some Results on a Class of Nonlinear Degenerate Parabolic Equations Not in Divergence Form

In this PaPer,we are eoneerned with the initial and boundary value Problem for thefollowing equations not in divergenee form“ 二:=。“div(}甲。{刀一2甲二),(二,t)任几二(1)and 二。==。div(}v。}p一2甲。卜守}v。}p,(二,t)〔几二,(2)wherep全2,a全1,年任R,几二=几x(o,T),and几仁砂15 a bounded domain withapProPriately smooth boundary口几.The irlitial and boundary value eonditions are 。(x,t)=o,(x,t)任a几x(O,T),。(二,o)=。。(x),二〔几,(3)where uo全0· Both(1)and(2)degenerate whenever。=0 ory。= 0.In g…