| 非自治退化抛物方程柯西问题熵解的存在性 |
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| 引用本文： | 郝兴文.非自治退化抛物方程柯西问题熵解的存在性[J].潍坊学院学报,2011,11(6):20-22. |
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| 作者姓名： | 郝兴文 |
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| 作者单位： | 潍坊学院,山东潍坊,261061 |
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| 基金项目： | 国家自然科学基金资助项目，潍坊学院博士基金项目 |
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| 摘 要： | 非自治的二阶退化抛物型方程是物理、金融中常见的数学模型。本文将利用粘性消去法，证明这类方程的柯西问题熵解的存在性。
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| 关 键 词： | 退化抛物方程 熵解 柯西问题 |
Existence of the Entropy Solutions to Cauchy Problem for Autonomous Degenerate Parabolic Equation |
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| HAO Xing-wen.Existence of the Entropy Solutions to Cauchy Problem for Autonomous Degenerate Parabolic Equation[J].Journal of Weifang University,2011,11(6):20-22. |
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| Authors: | HAO Xing-wen |
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| Institution: | HAO Xing-wen(Weifang University,Weifang 261061,China) |
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| Abstract: | Second order degenerate parabolic equation models many phenomenons arising in physics and financial decision etc. In this paper, existence of entropy solution to caucby problem is obtained by the a prior estimates of the smooth solutions to the viscous equation. |
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| Keywords: | degenerate parabolic equation entropy solutions eauchy problem |
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