| 非线性四阶抛物型方程Cauchy问题整体经典解 |
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| 引用本文： | 肖应昆,梅茗.非线性四阶抛物型方程Cauchy问题整体经典解[J].江西师范大学学报(自然科学版),1994,18(3):197-204,235. |
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| 作者姓名： | 肖应昆 梅茗 |
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| 作者单位： | 江西师大数学系!南昌330027(肖应昆)，日本金泽大学(梅茗) |
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| 摘 要： | 本文对具有耗散条件的一类非线性四阶抛物型方程Cauchy问题的小初值情形及其经典解的整体存在唯一性与衰减渐近性进行了研究．
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| 关 键 词： | 抛物型方程 经典解 初值问题 |
Global Classical Solutions of the Cauchy Problems for NonlinearParabolic Partial Differential Equations with Fouth Order |
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| Xiao Yingkun Mei Ming.Global Classical Solutions of the Cauchy Problems for NonlinearParabolic Partial Differential Equations with Fouth Order[J].Journal of Jiangxi Normal University (Natural Sciences Edition),1994,18(3):197-204,235. |
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| Authors: | Xiao Yingkun Mei Ming |
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| Abstract: | :In this paper, we study a class of nonlinear parabolic partial differential equations with thefouth order by means of the energy method,and obtain the global existence .uniqueness and decay asymptoticof the smooth solutions for the Cauchy problem. |
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| Keywords: | :nonlinear parabolic equations with the forth order Cauchy problem global existence decayasymptotic smooth solution |
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