| 拟双曲型方程的整体解 |
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| 引用本文： | 张全德,杨晓忠.拟双曲型方程的整体解[J].陕西师范大学学报,1995(4). |
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| 作者姓名： | 张全德 杨晓忠 |
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| 作者单位： | 陕西师范大学数学系，西安交通大学应用数学研究中心 |
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| 摘 要： | 讨论了由材料力学中的粘性振动及生物数学中的神经传播等实际问题提出的一类非线性拟双曲方程的初值问题及混合问题．利用线性抛物方程初值问题的基本解理论及不动点原理，通过能量估计，证明了此类问题的整体解的存在性和唯一性．
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| 关 键 词： | 拟双曲型方程 Cauchy问题 整体古典解 |
Global solutions of pseudo-hyperbolic equations |
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| Zhang Quande,Yang Xiaozhong.Global solutions of pseudo-hyperbolic equations[J].Journal of Shaanxi Normal University: Nat Sci Ed,1995(4). |
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| Authors: | Zhang Quande Yang Xiaozhong |
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| Abstract: | This paper presents a discussion of the Cauchy problem and mixed initial boundary-value problems of some nonlinear pseudo-hyperbolic equations arising in neurotransport of biological mathematics and viscous material wave of the mechanics. The authors make use of the basic solution of linear parabolic equation and fixed point principle to prove the existence and unique of global solution for above problems with energy estimates. |
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| Keywords: | pseudo-hyperbolic equation Cauchy problem global classical solution |
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