主讲人：魏巧玲 博士（法国Nice大学）

时  间：2014年5月14日（周三）9:00-11:00

地  点：必赢76net线路官网北一区文科楼 201 教室

摘  要: Given a Hamilton-Jacobi equation, the minmax solution is a type of weak solution defined geometrically: it takes the minmax of a generating family of the geometric solution which is a Lagrangian submanifold in the cotangent bundle. In the case where the Hamiltonian H(t,x,p) is convex on p, it is the classical Lax-Oleinik semi-group in weak KAM theory and coincides with the viscosity solution. But for nonconvex Hamiltonian, the minmax and the vicosity solution may differ. Replacing minmax by ''iterated minmax", we will see that, as the length of steps used to iterate tend to zero, the iterated minmax will converge to the viscosity solution.