| 强阻尼波方程解的Holder正则性 |
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| 引用本文： | 李永祥. 强阻尼波方程解的Holder正则性[J]. 西北师范大学学报(自然科学版), 1996, 32(4): 3-8 |
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| 作者姓名： | 李永祥 |
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| 作者单位： | 西北师范大学数学系 |
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| 摘 要： | 利用解析算子半群理论，在Ｂａｎａｃｈ空间框架下，研究了具有强阻尼的波方程解的Ｈｏｌｄｅｒ正则性；证明了该方程光滑古典解的存在性；并获得了类似于抛物型方程的解的正则性结果
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| 关 键 词： | 强阻尼波方程 解析半群 正则性 |
Hlder regularity of solutions for strongly damped wave equations |
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| Li Yongxiang. Hlder regularity of solutions for strongly damped wave equations[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 1996, 32(4): 3-8 |
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| Authors: | Li Yongxiang |
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| Abstract: | Using the theory of analytic operators semigroups,the Hlder regularity of solutions for wave equations with strong damping is studied in the frame of Banach spaces.The existence of smoothly classical solutions is proved.The regular results,similar to those for parabolic equations,are obtained. |
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| Keywords: | strongly damped wave equationanalytic semigroupsregularity |
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