具变指数粘弹性波动方程解的存在性 |
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引用本文: | 高云柱,郭微,栾天.具变指数粘弹性波动方程解的存在性[J].吉林林学院学报,2014(1):15-18. |
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作者姓名: | 高云柱 郭微 栾天 |
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作者单位: | 北华大学数学与统计学院,吉林吉林132033 |
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基金项目: | 吉林省教育厅科学技术研究项目(2013-439,2014195). |
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摘 要: | 考察了一类变指数粘弹性波动方程解的存在性问题,结合Orlicz—Musielak空间,运用Faedo—Galerkin方法、嵌入理论及解的先验界估计,获得了该问题解的存在性结果.
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关 键 词: | 变指数 粘弹性 波动方程 解存在性 |
Existence of Solutions for a Viscoelastic Wave Equation with Variable Exponent |
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Authors: | GAO Yun-zhu GUO Wei LUAN Tian |
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Institution: | ( School of Mathematics and Statistics, Beihua University, Jilin 132033, China) |
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Abstract: | The problem for a class of viscoelastic wave equation involving variable exponent is investigated. The existence of solutions are obtained by combining Orlicz-Musielak spaces, using Faedo-Galerkin' s method and embedding theory and prior estimate of solutions. |
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Keywords: | variable exponents viscoelasticity wave equation existence of solutions |
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