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),(·,·)
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.
出处
《计算数学》
CSCD
北大核心
1991年第3期280-285,共6页
Mathematica Numerica Sinica
基金
数学特资基金--青年基金
