A new proof of indefinite propagation of singularities for a Hamilton-Jacobi equation

作者：Stromberg Thomas^*

来源：Journal of Evolution Equations, 2016, 16(4): 895-903.

DOI：10.1007/s00028-016-0324-8

• Hamilton-Jacobi equation
• Generalized characteristic
• Propagation of singularities

We study propagation of singularities for the Hamilton-Jacobi equation where is a positive definite quadratic form. Each viscosity solution is semiconcave, and it is known that its singularities move along generalized characteristics. We give a new proof of the recent result by Cannarsa et al. (Discrete Contin Dyn Syst 35:4225-4239, 2015), namely that the singularities propagate along generalized characteristics indefinitely forward in time.

• 出版日期2016-12