| 带耗散的一阶非线性偏微分方程组的Cauchy问题 |
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| 引用本文： | 李亚纯.带耗散的一阶非线性偏微分方程组的Cauchy问题[J].应用数学与计算数学学报,1994,8(1):47-54. |
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| 作者姓名： | 李亚纯 |
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| 作者单位： | 复旦大学数学所 上海200433 |
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| 摘 要： | 本文采用整体迭代法证明了带小初值的一阶非线性耗散偏微分方程组的Cauchy问题的整体经典解的存在性及指数衰减性质。
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| 关 键 词： | 双曲型方程组 衰减估计 整体迭代法 |
The Cauchy Problem for the First-order Nonlinear Partial Differential Equations with Dissipation |
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| Li Yachun.The Cauchy Problem for the First-order Nonlinear Partial Differential Equations with Dissipation[J].Communication on Applied Mathematics and Computation,1994,8(1):47-54. |
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| Authors: | Li Yachun |
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| Abstract: | By the method of global iteration, this paper proves the existence and exponential decaying property of the global classical solutions to the Cauchy problem of first-order nonlinear damped partial differential equations with small inital data. |
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| Keywords: | hypeibolic equations decay estimates global iteration method |
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