简单分歧数值解的L_p估计 |
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引用本文: | 吕涛,刘波.简单分歧数值解的L_p估计[J].计算数学,1991,13(3):280-285. |
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作者姓名: | 吕涛 刘波 |
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作者单位: | 中国科学院成都分院数理研究室
,中国科学院成都分院数理研究室 |
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摘 要: | §1.问题的提出 考虑单参数二阶椭圆拟线性微分方程:λ∈R,Ω?R~N(N=1,2)是多角形凸域(要求?Ω是Lipschitz连续的)或光滑域.a_(ij)]∈C~1满足正定条件.f(x,y)∈C~2f(x,0)≡0,f_y(x,θ)≥0,但f_y(x,0)?0,?x∈Ω.记||·||_(j,p,Ω),p≥1,j=0,1,2为通常的W~(j,p)(Ω)范.H_0~1?W_0~(1,2),(·,·)为H_0~j中通
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关 键 词: | 分歧解 L∨p估计 B空间 压缩算子 |
THE L_p-ESTIMATES OF NUMERICAL SOLUTIONS OF SIMPLE BIFURCATION |
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Institution: | Lü Tao;Liu Bo Inst、of Math.Sciences,Chengdu Branch,Academia Sinica |
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Abstract: | In this paper, under very weak conditions, optimal L_p-estimates of the finiteelement solution of simple bifurcation are givenout by bounds of Ritz-projection underthe space norms of w_0~(1,p), 1≤p≤∞, and tbe generial inverse theory of operators.A problem in bifurcation theory is solved successfully. |
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