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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.


时间:2018年10月31日  14:00-17:00




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