| 一类三维非线性广义Sine—Gordon型方程 |
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| 引用本文： | 肖黎明. 一类三维非线性广义Sine—Gordon型方程[J]. 贵州师范大学学报(自然科学版), 1995, 13(4): 20-25 |
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| 作者姓名： | 肖黎明 |
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| 作者单位： | 贵州师范大学数学系 |
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| 摘 要： | 本文用Ｇａｌｅｒｋｉｎ方法研究了一类三维非线性广义Ｓｉｎｅ─Ｇｏｒｄｏｎ型方程，证明了初边值问题整体广义解的存在性与唯一性．
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| 关 键 词： | Galerkin方法，Sine─Gordon型方程，能量积分，Sobolev嵌入定理 |
A CLASS OF NONLINEAR GENERALINED SINE GORDON EQUATIONS |
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| Xiao Liming. A CLASS OF NONLINEAR GENERALINED SINE GORDON EQUATIONS[J]. Journal of Guizhou Normal University(Natural Sciences), 1995, 13(4): 20-25 |
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| Authors: | Xiao Liming |
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| Abstract: | In the paper, the author has studied a class of nonlinear generalized Sine-Gordon equations, by using Galerkin method, proved the existence and uniqueness of global generalized solution to the initial boundary value problems. |
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| Keywords: | Galerkin method Sine-Gordon equations Energy integral Sobolev imbedding theorems |
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