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.
Author NameAffiliationE-mail
HAO Xingwen Corresponding author. School of Mathematics and Information, Weifang University, Weifang 261061, Shandong, China. wfhxw@163.com 
WANG Zejun Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China. wangzejun@gmail.com 
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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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