| 一类高阶非线性发展方程解的爆破 |
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| 引用本文： | 王艳萍.一类高阶非线性发展方程解的爆破[J].郑州大学学报(自然科学版),2012(1):20-22. |
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| 作者姓名： | 王艳萍 |
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| 作者单位： | 郑州航空工业管理学院数理系,河南郑州450015 |
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| 基金项目： | 国家自然科学基金资助项目,编号10671182; 河南省高等学校青年骨干教师基金资助项目 |
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| 摘 要： | 研究了一类高阶非线性双曲型方程的初边值问题,用Galerkin方法和紧性原理证明方程局部广义解的存在性与唯一性,并给出解爆破的充分条件.
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| 关 键 词： | 高阶 非线性发展方程 初边值问题 局部解 解的爆破 |
Blow-up of the Solution for a Class of Nonlinear Evolution Equation of Higher Order |
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| WANG Yan-ping.Blow-up of the Solution for a Class of Nonlinear Evolution Equation of Higher Order[J].Journal of Zhengzhou University (Natural Science),2012(1):20-22. |
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| Authors: | WANG Yan-ping |
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| Institution: | WANG Yan-ping(Department of Mathematics and Physics,Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou 450015,China) |
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| Abstract: | The initial boundary value problem for a class of nonlinear hyperbolic equation of higher order was studied.The existence and uniqueness of the local generalized solution of the problem were proved by Galerkin method and the compactness argument.Moreover,the sufficient conditions of blow-up of the solution of the problem in finite time was given. |
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| Keywords: | higher order nonlinear evolution equation initial boundary value problem local solution blow-up of the solution |
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