题目： Viscosity solutions to weakly coupled system of Hamilton-Jacobi equations
报告人：金亮 南京理工大学 理学院
摘要：We consider weakly coupled system of Hamilton-Jacobi equations, with the assumptions that the Hamiltonians are uniformly Lipschitz with respect to the coupled unknown functions. We shall give the existence and uniqueness of viscosity solutions to the Cauchy problem for such systems. Under additional assumptions on Hamiltonians, we shall derive a representation formula for the solutions and then discuss some results concerning the so-called regularizing effects. We shall also give a a short survey on the recent results within this field.