| 两类高阶非线性发展方程初边值问题解的爆破与熄灭 |
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| 引用本文： | 李海峰,李洪昌.两类高阶非线性发展方程初边值问题解的爆破与熄灭[J].焦作工学院学报,1991(2). |
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| 作者姓名： | 李海峰 李洪昌 |
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| 摘 要： | 本文对一类高阶非线性双曲型方程和一类高阶非线性抛物型方程的初边值问题,研究了其解在有限时间内的爆破与熄灭的条件。
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| 关 键 词： | 非线性发展方程 初值边值问题 解的爆破与熄灭 |
ON BIOWING UP AND QUENCHING OF THE SOLUTIONS TO INITIAL BOUNDARY VALUE PROBLEMS FOR TWO CLASSES OF NONLINEAR EVOLUTION EQUATIONS OF HIGHER ORDER |
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| Li Hai feng Li Hongchang.ON BIOWING UP AND QUENCHING OF THE SOLUTIONS TO INITIAL BOUNDARY VALUE PROBLEMS FOR TWO CLASSES OF NONLINEAR EVOLUTION EQUATIONS OF HIGHER ORDER[J].Journal of Jiaozuo Institute of Technology(Natural Science),1991(2). |
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| Authors: | Li Hai feng Li Hongchang |
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| Affiliation: | Li Hai feng Li Hongchang |
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| Abstract: | This paper studies the conditions under which the solutions to the initial boundary value problem for a class of higher order nonlinear hyperbolic equations and for a class of higher order non linear parabolic equations blow-up and quench within a finite period of time respectively. |
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| Keywords: | nonlinear evolution equation initial boundary value problem blowing up and quenching of the solution |
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