Continuously Dependent on Boundary Value for Solution of Semi-liner Heat-conduction Equation

半线性热传导方程的解关于边值的连续依赖性(英文)

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摘要 Reference [1] deals with the uniqueness of solution to problem （A） and solution of problem （A） is continuously dependent on free term and initial value under certain conditions. This paper discuss the solution of problem （A） is continuously dependent on boundary value on the basis of references [2] and [3].

作者曹殿立王建平

机构地区 College of Information and Management Science

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第1期140-143,共4页 数学季刊（英文版）

基金 the NNSF of Henan Province(07230041080)

关键词 semi-liner heat-conduction equation boundary value problem continuously dependent 半线性热传导方程边值连续依赖性方程解

分类号 O175.2 [理学—基础数学]

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参考文献3

1CAO Dian-li, LIANG Bao-song, YE Yao-jun. Uniqueness and stability of solution for semi-liner heat- conduction equation in higher dimension[J]. Chin Quart J of Math, 2004, 19(4): 416-421.
2TYN Myint-U. Partial Differential Equations of Mathematical Physics[M]. Beijing: Science Press, 1978.
3GUAN Min-de. Uniqueness of Solution for Some Heat-conduction Equation[R]. Wuhan: (National Teaching and Research discussing meeting about Mathematics and Physics equation, Exchange document in meeting), 1997.

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Chinese Quarterly Journal of Mathematics

2008年第1期

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Continuously Dependent on Boundary Value for Solution of Semi-liner Heat-conduction Equation

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