退化抛物-双曲方程动力学解的唯一性
Uniqueness of Kinetic Solutions to Quasilinear Anisotropic Degenerate Parabolic-Hyperbolic Equation

主要研究系数显含有时间和空间变量的退化抛物{-}双曲型方程柯西问题动力学解的唯一性. 首先推广了这种类型方程的动力学公式, 在给定系数适当的光滑性条件下, 得到了动力学解的唯一性.
This paper deals with the uniqueness of the kinetic solutions to Cauchy problem of general anisotropic degenerate parabolic-hyperbolic equations. Kinetic formulation is extended to such general degenerate parabolic-hyperbolic equations with coefficients depending on time-spatial variables. Contraction property of kinetic solutions is established under appropriate conditions on diffusion and convection functions.