| 一类高维半线性热传导方程Cauchy问题解的唯一性与稳定任 |
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| 引用本文： | 陈世明.一类高维半线性热传导方程Cauchy问题解的唯一性与稳定任[J].华南师范大学学报(自然科学版),1991,0(1):1. |
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| 作者姓名： | 陈世明 |
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| 作者单位： | 华南师范大学数学系 |
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| 摘 要： | 文献〔1〕用引进积分的方法讨论了一类高维半线性热传导方程混合问题解的唯一性与稳定性.本文继续文献〔1〕仍用引进积分的方法推导出同类方程Cauchy问题解的唯一性与稳定性.
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| 关 键 词： | 光滑函数 初始条件 自由项 连续依赖 |
UNIQUENESS AND STABILITY OF SOLUTION TO A FORM OF SEMI-LINEAR HEAT-CONDUCTION EQUATION CAUCHY PROBLEMS IN HIGHER DIMENSIONS |
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| Chen Shiming.UNIQUENESS AND STABILITY OF SOLUTION TO A FORM OF SEMI-LINEAR HEAT-CONDUCTION EQUATION CAUCHY PROBLEMS IN HIGHER DIMENSIONS[J].Journal of South China Normal University(Natural Science Edition),1991,0(1):1. |
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| Authors: | Chen Shiming |
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| Abstract: | Document 1 ] by introducing integral deals with the uniqueness and stability of solution to a form of semi-linear heat-conduction equation mixed problem in higher dimensions. This paper, as in document 1 ] , by introducing integral, derives the uniqueness and stability of solution to the Cauchy problems of the same form of equation. |
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| Keywords: | smooth function initial condition free term continuous dependence |
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