| 具非线性耗散项的p-方程组的初值问题 |
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| 引用本文： | 郭大鹏. 具非线性耗散项的p-方程组的初值问题[J]. 黑龙江科技学院学报, 2005, 15(3): 185-187,191 |
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| 作者姓名： | 郭大鹏 |
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| 作者单位： | 绍兴越秀外国语学院,浙江,绍兴,312000 |
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| 摘 要： | ：讨论具有非线性耗散项P^-方程组的初值问题，对初值的C^0漠不加小性假设。而要求其一阶导数适当小，证明了其光滑解的整体存在性。并用经典解的特征线法获得解的c0模估计，应用极值原理得到解的偏导数的一致估计。
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| 关 键 词： | 非线性耗散项 P^-方程组 整体光滑解 初值 |
| 文章编号： | 1671-0118(2005)03-0185-03 |
Initial value problem for p-equation group with non-linear dissipative terms |
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| Guo Dapeng. Initial value problem for p-equation group with non-linear dissipative terms[J]. Journal of Heilongjiang Institute of Science and Technology, 2005, 15(3): 185-187,191 |
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| Authors: | Guo Dapeng |
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| Abstract: | This paper deals with initial value for p-equation group with non-linear dissipative terms. The paper proves the global existence of smooth solutions under certain assumptions that the first derivative of C0 model of the initial value is appropriate small and not adding small assumption on C0 model of the initial value. The paper offers both C0 model estimation of the solution by the characteristic line method of sutra solution and consistent estimation of partial derivative of the solution by the extreme theory. |
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| Keywords: | non-linear dissipative term p-equation group global smooth solution initial value |
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