| 一类耗散非线性波动方程初边值问题整体解的存在与非存在性 |
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| 引用本文： | 范恩贵,王静海. 一类耗散非线性波动方程初边值问题整体解的存在与非存在性[J]. 河北北方学院学报(自然科学版), 1994, 0(2) |
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| 作者姓名： | 范恩贵 王静海 |
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| 作者单位： | 张家口农专基础部(范恩贵)，张家口农专基础部(王静海) |
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| 摘 要： | 本文考虑一类耗散非线性波动方程的初边值问题。用半(?)方法和先验估计论证了该问题小初值下在时间大范围的可解性、唯一性;并用凸性方法证明了(?)当条件下该问题的解在有限时间内发生爆破现象。
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| 关 键 词： | 耗散波动方程 初边值问题 整体解 爆破 |
THE EXISTENCE AND NONEXISTENCE OF A GLOBAL SOLU TION FOR A CLASS OF DISSIPATIVE NONLINEAR WAVE EQUATIONS |
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| Fan Enogui and Wang Jinghai. THE EXISTENCE AND NONEXISTENCE OF A GLOBAL SOLU TION FOR A CLASS OF DISSIPATIVE NONLINEAR WAVE EQUATIONS[J]. JournalofHebeiNorthUniversity(NaturalScienceEdition), 1994, 0(2) |
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| Authors: | Fan Enogui and Wang Jinghai |
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| Abstract: | The initial-boundary value problem for a class of dissipative nonlincar wave e uations was consided in this paper. The existence and uni ueness of a global solution were obtained by semigroup's method and priori estimate. The blowingup of the solution in finite time also was discussed. |
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| Keywords: | Dissipative wave e uation Initial-boundary value Global solution Blow-up |
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