数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2004年
5期
479-484
,共6页
董柏青%高永东%秦晓红%吴娥子
董柏青%高永東%秦曉紅%吳娥子
동백청%고영동%진효홍%오아자
长时间性态%非线性发展方程
長時間性態%非線性髮展方程
장시간성태%비선성발전방정
large time behavior%nonlinear evolution equation
本文分别在全空间和半空间两种情形下讨论一类非线性发展方程弱解的长时间性态,证明了其弱解在L2范数下衰减速率和线性热方程一致,分别为t-n/2(1/r-1/2)和t-n/2(1/r-1/2)-1/2.
本文分彆在全空間和半空間兩種情形下討論一類非線性髮展方程弱解的長時間性態,證明瞭其弱解在L2範數下衰減速率和線性熱方程一緻,分彆為t-n/2(1/r-1/2)和t-n/2(1/r-1/2)-1/2.
본문분별재전공간화반공간량충정형하토론일류비선성발전방정약해적장시간성태,증명료기약해재L2범수하쇠감속솔화선성열방정일치,분별위t-n/2(1/r-1/2)화t-n/2(1/r-1/2)-1/2.
In this paper the authors study the large time behavior for the weak solution of the nonlinear evolution equation in the whole space and the half space and prove that the solution decays in L2 norm at t -n/2(1/r-1/2)and t-n/2(1/r-1/2)-1/2 ,respectively, which is the same as the solution of the heat equation.
