| 一类带位势非线性热方程解的不存在性定理 |
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| 引用本文： | 刘海峰.一类带位势非线性热方程解的不存在性定理[J].纯粹数学与应用数学,2010,26(5):761-767. |
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| 作者姓名： | 刘海峰 |
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| 作者单位： | 上海海洋大学信息学院,上海,201306 |
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| 基金项目： | 上海高校选拔培齐优秀青年教师科研专项基金 |
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| 摘 要： | 研究与向量场有关的非线性次椭圆热方程.通过选取合适的测试函数,应用反证法证明了与之相关的初边值问题解的不存在性定理,将欧式空间及Heisenberg群上的结果推广至满足H（o）rmander有限秩条件的光滑向量场.
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| 关 键 词： | 次椭圆算子 非线性热方程 初边值问题 不存在性定理 |
A nonexistence theorem to the nonlinear heat equations with potentials |
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| LIU Hai-feng.A nonexistence theorem to the nonlinear heat equations with potentials[J].Pure and Applied Mathematics,2010,26(5):761-767. |
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| Authors: | LIU Hai-feng |
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| Institution: | LIU Hai-feng(College of Information Technology,Shanghai Ocean University,Shanghai 201306,China) |
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| Abstract: | In this paper we consider the nonlinear subelliptic heat equations related to a system of vector fields. By choosing proper test functions and using contradiction arguments, a nonexistence theorem to the corresponding initial-boundary value problem is proved, thus the known results in Euclidean space are extended to the smooth vector fields satisfying HSrmander＇s finite rank condition. |
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| Keywords: | subelliptic operator nonlinear heat equation initial-value problem nonexistence theorem |
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