| 退化抛物-双曲方程动力学解的唯一性 |
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| 引用本文： | 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(中文版),2018,39(3):229-248. |
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| 作者姓名： | 郝兴文 王泽军 |
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| 作者单位： | 潍坊学院数学与信息科学学院;南京航空航天大学数学系 |
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| 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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| 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.
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| 关 键 词： | 退化抛物{-}双曲方程 动力学解 熵解 唯一性 |
| 收稿时间： | 2017/9/3 0:00:00 |
| 修稿时间： | 2018/3/28 0:00:00 |
Uniqueness of Kinetic Solutions to Quasilinear Anisotropic Degenerate Parabolic-Hyperbolic Equation |
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| HAO Xingwen and WANG Zejun.Uniqueness of Kinetic Solutions to Quasilinear Anisotropic Degenerate Parabolic-Hyperbolic Equation[J].Chinese Annals of Mathematics,2018,39(3):229-248. |
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| Authors: | HAO Xingwen and WANG Zejun |
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| Institution: | Corresponding author. School of Mathematics and Information, Weifang
University, Weifang 261061, Shandong, China. and Department of Mathematics, Nanjing University of
Aeronautics and Astronautics, Nanjing 210016, China. |
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| Abstract: | 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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| Keywords: | Degenerate parabolic-hyperbolic equation Kinetic solutions |
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