| 一类非线性波方程弱解的存在性 |
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| 引用本文： | 苗慧慧.一类非线性波方程弱解的存在性[J].太原师范学院学报(自然科学版),2013(2):54-56. |
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| 作者姓名： | 苗慧慧 |
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| 作者单位： | 山西大学数学科学学院,山西太原030006 |
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| 摘 要： | 为了研究含有a(x)ut的非线性波方程弱解的存在性,我们用迦辽金逼近方法,Sobolev嵌入定理和Gronwall不等式来证明,通过这些方法,我们得到了方程弱解的存在性和唯一性.
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| 关 键 词： | 非线性波方程 迦辽金方法 Sobolev嵌入定理 Gronwall不等式 |
Existence of Weak Solutions to the Nonlinear Wave Equations |
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| Miao Huihui.Existence of Weak Solutions to the Nonlinear Wave Equations[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(2):54-56. |
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| Authors: | Miao Huihui |
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| Institution: | Miao Huihui (School of Mathematical Sciences, Shanxi University,Taiyuan 030006 ,China) |
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| Abstract: | To study the existence of weak solutions to the nonlinear wave equations with like a（x）ut, we use Oalerkin＇s method, Sobolev embedding theorem and Gronwall inequality to prove. By using these methods, we investigate the existence and uniqueness of weak solutions to the equations. |
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| Keywords: | nonlinear wave equations Faedo-Galerkin mathod Sobolev embedding theo-rem Gronwall inequality |
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