| 一类非线性双曲方程的整体解 |
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| 引用本文： | 严勇. 一类非线性双曲方程的整体解[J]. 渝西学院学报(自然科学版), 2012, 0(4): 11-14,26 |
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| 作者姓名： | 严勇 |
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| 作者单位： | 四川民族学院数学系,四川康定626001 |
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| 基金项目： | 四川省教育厅科研项目（09ZC064） |
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| 摘 要： | 文章利用Galerkin方法和改进的势井理论,研究了一类非线性双曲型方程初边值问题的整体解,在一定的条件下,得到了这类非线性双曲方程的初边值问题整体解的存在性与唯一性.
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| 关 键 词： | 非线性双曲方程 整体解 存在性 唯一性 Galerkin方法 |
The global solution for a class of nonlinear hyperbolic equations |
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| YAN Yong. The global solution for a class of nonlinear hyperbolic equations[J]. , 2012, 0(4): 11-14,26 |
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| Authors: | YAN Yong |
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| Affiliation: | YAN Yong ( Department of Mathematics, Sichuan University for Nationalities, Kangding Sichuan 626001, China) |
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| Abstract: | Using Galerkin method and modified potential well theory, this paper deals with the global solution of an initial - boundary value problem for a class of nonlinear hyperbolic equations. Under certain assumptions, the existence and uniqueness of the global solution for the hyperbolic equation are established. |
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| Keywords: | nonlinear hyperbolic equation global solution existence uniqueness Galerkin method |
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