| 非自治退化抛物-双曲方程的柯西问题 |
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| 引用本文： | 郝兴文.非自治退化抛物-双曲方程的柯西问题[J].数学年刊A辑(中文版),2014,35(6):661-674. |
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| 作者姓名： | 郝兴文 |
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| 作者单位： | 潍坊学院数学与信息科学学院, 山东~~潍坊 261061. |
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| 基金项目： | 国家自然科学基金 (No.11201343) |
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| 摘 要： | 非自治退化抛物-双曲型方程可以描述许多自然现象.主要研究这类方程的柯西问题,建立了动力学公式,在对流函数、扩散函数适当光滑性的基础上,证明了该问题动力学解的存在唯一性.
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| 关 键 词： | 退化抛物-双曲方程 动力学解 柯西问题 |
Cauchy Problem for Non-autonomous Degenerate Parabolic-Hyperbolic Equations |
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| HAO Xingwen.Cauchy Problem for Non-autonomous Degenerate Parabolic-Hyperbolic Equations[J].Chinese Annals of Mathematics,2014,35(6):661-674. |
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| Authors: | HAO Xingwen |
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| Institution: | School of Mathematics and Information, Weifang University, Weifang 261061,
Shandong, China. |
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| Abstract: | Non-autonomous degenerate parabolic-hyperbolic equations can be used to describe
many physical phenomena. The paper is mainly concerned with the Cauchy problem
for this kind of equations. The kinetic formulation is constructed. Under suitable smooth
conditions for the flux and diffusion function, the existence and uniqueness of kinetic solutions
for the Cauchy problem is obtained. |
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| Keywords: | Degenerate parabolic-hyperbolic equation Kinetic solutions Cauchy problem |
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