| 具有多奇性的非线性热方程的定解问题 |
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| 引用本文： | 王先婷,陈祖墀. 具有多奇性的非线性热方程的定解问题[J]. 中国科学技术大学学报, 2005, 35(3): 320-328 |
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| 作者姓名： | 王先婷 陈祖墀 |
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| 作者单位： | 中国科学技术大学数学系,安徽,合肥,230026 |
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| 基金项目： | Supported by NNSF of China (10371116,10101024). |
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| 摘 要： | 利用Kato类函数和Green胎紧函数的性质得到了具有多奇性的非线性热方程的初值问题和初边值问题．弱解的存在性．
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| 关 键 词： | 奇位势 奇系数Green胎紧Kato类 3G定理 |
| 文章编号： | 0253-2778(2005)03-0320-09 |
| 修稿时间： | 2004-03-02 |
Nonlinear Heat Equations With Multi-Singularities |
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| WANG Xian-ting,CHEN Zu-chi. Nonlinear Heat Equations With Multi-Singularities[J]. Journal of University of Science and Technology of China, 2005, 35(3): 320-328 |
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| Authors: | WANG Xian-ting CHEN Zu-chi |
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| Abstract: | Using Kato class functions and the Green tight function, the existence of weak solutions are obtained for both initial-value problems and initial-boundary-value problems of nonlinear heat equations with muti-singularities. |
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| Keywords: | singular potential singular coefficients Green tight Kato class 3G theorem |
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