| 郝兴文,王泽军.退化抛物-双曲方程动力学解的唯一性[J].数学年刊A辑,2018,39(3):229~248 |
| 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 |
| Received:September 03, 2017 Revised:March 28, 2018 |
| DOI：10.16205/j.cnki.cama.2018.0022 |
| 中文关键词: 退化抛物{-}双曲方程, 动力学解 , 熵解, 唯一性 |
| 英文关键词:Degenerate parabolic-hyperbolic equation,Kinetic solutions, |
| 基金项目:本文受到国家自然科学基金(No.11571232, No.11401517,
No.11671193)的资助. |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
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