报告主题：一个新的扩张奇异变换和不具有变分结构的拟线性椭圆型偏微分方程多解的偏牛顿-校正方法
报告人：李昭祥 副教授 （上海师范大学）
报告时间：2019年5月17日（周五） 16：10
报告地点：校本部G507
邀请人：李常品
报告摘要：In this talk, in order to find more solutions to a nonvariational quasilinear PDE, a new augmented singular transform (AST) is developed to form a barrier surrounding previously found solutions so that an algorithm search from outside cannot pass the barrier and penetrate into the inside to reach a previously found solution. Thus a solution found by the algorithm must be new. Mathematical justifications of AST are established. A partial Newton-correction method is designed accordingly to solve the augmented problem and to satisfy a constraint in AST. The new method is applied to numerically investigate bifurcation, symmetry-breaking phenomena to a nonvariational quasilinear elliptic equation through finding multiple solutions.
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