| 非线性发展方程解的破裂 |
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| 引用本文： | 王凡彬.非线性发展方程解的破裂[J].贵州师范大学学报(自然科学版),1995,13(1):28-33. |
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| 作者姓名： | 王凡彬 |
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| 作者单位： | 四川内江师范专科学校 |
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| 摘 要： | 本文考虑一类非线性双曲方程和一类非线性抛物方程的初边值问题，在大初值情形，给出了其古典解在有限时间内破裂的条件。
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| 关 键 词： | 非线性发展方程，古典解，破裂 |
BLOW-UP OF THE SOLUTIONS TO NONLINEAR EVOLUTION EQUATIONS |
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| Wang Fanbin.BLOW-UP OF THE SOLUTIONS TO NONLINEAR EVOLUTION EQUATIONS[J].Journal of Guizhou Normal University(Natural Sciences),1995,13(1):28-33. |
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| Authors: | Wang Fanbin |
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| Abstract: | In this paper,we considers the initial boundary value problems for a type of nonlinear hyperbolic equations and a type of nonlinear parabolic equations.In the case of the large initial value,the conditions for which the classical solutions to there problems blow up in the finite time. |
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| Keywords: | Nonlinear evolution equation Classical solutions Blow-up |
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