| 一类n维非线性伪抛物方程(n≥2) |
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| 引用本文： | 肖黎明. 一类n维非线性伪抛物方程(n≥2)[J]. 贵州师范大学学报(自然科学版), 1993, 11(2): 1-9 |
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| 作者姓名： | 肖黎明 |
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| 作者单位： | 贵州师大数学系 贵阳 |
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| 摘 要： | 本文用Galerkin方法研究了一类n维非线性伪抛物方程,结合能量积分与Sobolev嵌入定理,证明了初边值问题整体强解的存在性和唯一性。
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| 关 键 词： | 非线性伪抛物方程 Galerkin方法 能量积分 Sobolev嵌入定理 |
A CLASS OF NONLINEAR PSEUDO—PARABOLIC EQUATIONS WITH DIMENSION (n≥2) |
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| Xiao Liming. A CLASS OF NONLINEAR PSEUDO—PARABOLIC EQUATIONS WITH DIMENSION (n≥2)[J]. Journal of Guizhou Normal University(Natural Sciences), 1993, 11(2): 1-9 |
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| Authors: | Xiao Liming |
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| Abstract: | In this paper, we have studied a class of multidimensional nonlinear pseudo-parabolic equations by Galerkin method, together with the energy integral and sobolev imbedding theorems, proved the existence and uniqu-Eness of global strong Solutions to the initial boundary value probems, |
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| Keywords: | nonlineor pseudo—parabolic equations Galerkin method Energy integral Sobolev imbedding theorems |
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