| 带有等位面边界条件的抛物型方程 |
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| 引用本文： | 余其煌 周宏. 带有等位面边界条件的抛物型方程[J]. 应用数学学报, 1995, 18(1): 101-111 |
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| 作者姓名： | 余其煌 周宏 |
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| 作者单位： | 中国科学院应用数学所 |
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| 基金项目： | “八五”国家科技攻关项目 |
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| 摘 要： | 本文讨论一类与石油试井有密切联系的带有等位面边界条件的抛物型偏微分方程，对带有位面边界条件的热核函数进行了讨论，对方程解的梯度进行了估计，并给出了Ｈａｒｎａｃｋ型不等式，一类非线性抛物型方程与热方程的比较定理，以及在试井分析中应用的一个例子。
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| 关 键 词： | 等位面边界条件 热核 抛物型方程 |
PDE WITH CONTOUR BOUNDARY CONDITION |
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| YU QIHUANG, ZHOU HONG, SUN XIAODONG. PDE WITH CONTOUR BOUNDARY CONDITION[J]. Acta Mathematicae Applicatae Sinica, 1995, 18(1): 101-111 |
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| Authors: | YU QIHUANG ZHOU HONG SUN XIAODONG |
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| Abstract: | in this paper. the authors discuss a group of Parabolic partial differential equations with contour boundary condition, which is closely related to well testing. The heat kernel with contour boundary condition is discussed, and the gradient of the solution is estimated. The authors also provide a Harnack-type inequality, a comparison theorem of the heat equation and a set of nonlinear parabolic partial differential equations. In addition,an example of application in well testing analysis is presented. |
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| Keywords: | Contour boundary condition heat kernel |
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