| 一类非线性抛物方程Cauchy问题解的存在性条件 |
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| 引用本文： | 陈美珍,潘佳庆.一类非线性抛物方程Cauchy问题解的存在性条件[J].纯粹数学与应用数学,2013(6):654-660. |
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| 作者姓名： | 陈美珍 潘佳庆 |
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| 作者单位： | 集美大学理学院,福建厦门361021 |
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| 摘 要： | 研究了带源项的非线性抛物方程Cauchy问题解存在的必要条件以及解所应具有的性质，通过把文献中的线性算子推广到形式较一般的带源项的非线性抛物算子，利用其中处理线性问题的方法来处理非线性问题．
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| 关 键 词： | Cauchy问题 必要条件 L1 可积 |
The existence conditions of solutions of a class of nonlinear parabolic equation |
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| Chen Meizhen,Pan Jiaqing.The existence conditions of solutions of a class of nonlinear parabolic equation[J].Pure and Applied Mathematics,2013(6):654-660. |
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| Authors: | Chen Meizhen Pan Jiaqing |
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| Institution: | (School of Science, Jimei University, Xiamen 361021, China) |
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| Abstract: | This paper discusses the necessary conditions of solution to a class of nonlinear parabolic equation and the nature of the solution. By extending the linear operator to a more general form of nonlinear parabolic operator with the source term, we use the method in document which was used to handle the linear problem to handle the nonlinear problem |
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| Keywords: | the Cauchy problem the necessary conditions L1 integrable |
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