| 李志斌.一类具不变性质的变系数偏微分方程的特解[J].数学研究及应用,1987,7(2):283~288 |
| 一类具不变性质的变系数偏微分方程的特解 |
| Particular Solutions of a Class of Partial Differential Equations with Variate Coefficients and Invariant Properties |
| 投稿时间：1983-11-30 |
| DOI：10.3770/j.issn:1000-341X.1987.02.018 |
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| 摘要点击次数: 1974 |
| 全文下载次数: 852 |
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| 英文摘要: |
| In this paper, a few properties of general patial differential operator P beinginvariant with respect to the form F(|x|pp+|y|qq-|z|rr) are studied, where x∈Rn,y∈ Rm, z∈Rl.and explicit formulas are given for certain solution of the equation Pu=Aδ with P being a differential operator with power function coefficientswhich preserves the form (|x|pp+|y|qq-|z|rr)1/v for arbitrary even integers p, q, r,and odd integers v. |
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