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可控增长条件下一类椭圆型方程弱解的局部极值原理 被引量:2
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作者 韩丕功 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2000年第4期560-565,共6页
研究二阶非线性椭圆型偏微分方程-divA(x,u, u)+ B(x,u,u)=μ,在可控增长结构条件-A(x,z,η)·η≥λ|η|p-A|η|p*-1,D|A(x,z,η)|<A1(|η|^(p-1)十|z|p*(... 研究二阶非线性椭圆型偏微分方程-divA(x,u, u)+ B(x,u,u)=μ,在可控增长结构条件-A(x,z,η)·η≥λ|η|p-A|η|p*-1,D|A(x,z,η)|<A1(|η|^(p-1)十|z|p*(1-1/p).|B(x,z,η)|≤A(|η|p(1-1/p*)+|z|p*-1)下,应用 Moser迭代法得出弱解的局部极值原理,并进一步得出弱解的内部估计和全局估计. 展开更多
关键词 可控增长条件 椭圆型方程 弱解 局部极值原理
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Optimization algorithm based on kinetic-molecular theory 被引量:2
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作者 范朝冬 欧阳红林 +1 位作者 张英杰 艾朝阳 《Journal of Central South University》 SCIE EI CAS 2013年第12期3504-3512,共9页
Traditionally, the optimization algorithm based on physics principles has some shortcomings such as low population diversity and susceptibility to local extrema. A new optimization algorithm based on kinetic-molecular... Traditionally, the optimization algorithm based on physics principles has some shortcomings such as low population diversity and susceptibility to local extrema. A new optimization algorithm based on kinetic-molecular theory(KMTOA) is proposed. In the KMTOA three operators are designed: attraction, repulsion and wave. The attraction operator simulates the molecular attraction, with the molecules moving towards the optimal ones, which makes possible the optimization. The repulsion operator simulates the molecular repulsion, with the molecules diverging from the optimal ones. The wave operator simulates the thermal molecules moving irregularly, which enlarges the searching spaces and increases the population diversity and global searching ability. Experimental results indicate that KMTOA prevails over other algorithms in the robustness, solution quality, population diversity and convergence speed. 展开更多
关键词 optimization algorithm heuristic search algorithm kinetic-molecular theory DIVERSITY CONVERGENCE
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