| 一类非线性发展方程初边值问题解的Blow—up |
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| 引用本文： | 杨志坚. 一类非线性发展方程初边值问题解的Blow—up[J]. 高校应用数学学报(A辑), 1993, 0(4): 351-359 |
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| 作者姓名： | 杨志坚 |
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| 作者单位： | 郑州工学院数力系 450002 |
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| 摘 要： | 本文利用Fourier变换方法,研究了一类非线性拟双曲方程的初边值问题的解的bolw-up问题,并给出了其解在有限时间内bolw-up的条件。
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| 关 键 词： | 发展方程 Blow－up 初边值问题 解 |
ON BLOW-UP OF THE SOLUTIONS TO INITIAL BOUNDARY VALUE PROBLEMS OF A CLASS OF NONLINEAR EVOLUTION EQUATIONS |
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| Yang Zhijian. ON BLOW-UP OF THE SOLUTIONS TO INITIAL BOUNDARY VALUE PROBLEMS OF A CLASS OF NONLINEAR EVOLUTION EQUATIONS[J]. Applied Mathematics A Journal of Chinese Universities, 1993, 0(4): 351-359 |
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| Authors: | Yang Zhijian |
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| Affiliation: | Zhengzhou Institute of Technology |
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| Abstract: | In this paper, the blow-up of the solutions to initial boundary value problems of a class of nonlinear pseudo-hyperbolic equationsis studied by using the Fourier transform method , and the conditions under which their solutions blow-up within a finite period of time are given. |
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| Keywords: | Nonlinear Evolution Equation Blow-up Fourier Transform Method. |
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