| 椭圆型偏微分方程初值问题的比较原理 |
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| 引用本文： | 刘长河.椭圆型偏微分方程初值问题的比较原理[J].北京建筑工程学院学报,2010,26(1):38-40,44. |
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| 作者姓名： | 刘长河 |
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| 作者单位： | 北京建筑工程学院,理学院,北京,100044 |
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| 摘 要： | 对一类二阶椭圆型偏微分方程的初值问题的粘性解进行研究.在u0(x)是RN上的一致连续函数,H在RN×φ(N)上连续且H是退化椭圆的假设下,给出初值问题ut+H(Du,D2u)=0,0t+∞u(x,0)=u0(x),x∈RN的比较原理.
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| 关 键 词： | 椭圆型偏微分方程 粘性解 比较原理 |
Comparison Theorem for the Initial Value Problem of One Type of Second Order Partial Differential Equation |
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| Liu Changhe.Comparison Theorem for the Initial Value Problem of One Type of Second Order Partial Differential Equation[J].Journal of Beijing Institute of Civil Engineering and Architecture,2010,26(1):38-40,44. |
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| Authors: | Liu Changhe |
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| Affiliation: | School of Science;BUCEA;Beijing 100044 |
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| Abstract: | In this paper, the comparison theorem for the initial value problem of one type of second order partial differential equation {u（x,0）=u0（x）,x∈R^N u1＋H（Du,D^2u）=0,0〈t〈＋∞,is researched. If u0 is uniformly continuous function in R^N, and H is degenerate elliptic and is continuous function in R^N×φ（N）, the comparison theorem for this problem is suggested. |
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| Keywords: | partial differential equation degenerate ellipticity comparison theorem |
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