| 三维强阻尼非线性波动方程初边值问题的整体强解 |
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| 引用本文： | 刘亚成,刘大成.三维强阻尼非线性波动方程初边值问题的整体强解[J].哈尔滨工程大学学报,1987(1). |
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| 作者姓名： | 刘亚成 刘大成 |
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| 作者单位： | 哈尔滨船舶工程学院数学教研室
(刘亚成)，哈尔滨船舶工程学院攀枝花钢铁公司(刘大成) |
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| 摘 要： | 本文用Galerkin方法研究了一类三维强阻尼非线性波动方程u_(tt)-α△u_t-△u=f(x,t,u,△u,u_t,△u_t)的初值边值问题,给出了为得到整体强解的存在和唯一性,f及其各一阶偏导数所应满足的增长条件.
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| 关 键 词： | 强阻尼 非线性 波动方程 整体强解 存在性 唯一性 |
The Global Strong Solution of Initial-Boundary Value Problem for Strongly Damped Nonlinear Wave Equation in Three Dimensional Space |
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| Liu Yacheng ,Liu Dacheng.The Global Strong Solution of Initial-Boundary Value Problem for Strongly Damped Nonlinear Wave Equation in Three Dimensional Space[J].Journal of Harbin Engineering University,1987(1). |
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| Authors: | Liu Yacheng Liu Dacheng |
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| Affiliation: | Teaching and Research Section of Math |
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| Abstract: | Initial-boundary value problem for general strongly damped nonlinear wave equation in three dimensional space is considered by means of Galerkin's method.The existence and uniqueness of the global strong solution is obtained under the growth conditions given in the paper. |
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| Keywords: | strongly damped nonlinear wave equation global strong solution existence: uniqueness |
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