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| C半群与抽象Cauchy问题的Mild解 | |
| 引用本文： | 陆凤玲,宋晓秋,王甫红. C半群与抽象Cauchy问题的Mild解[J]. 徐州师范大学学报(自然科学版), 2008, 26(4): 35-37 |
| 作者姓名： | 陆凤玲 宋晓秋 王甫红 |
| 作者单位： | 中国矿业大学,理学院,江苏,徐州,221008 |
| 基金项目： | 中国矿业大学校科研和教改项目 |
| 摘 要： | 在Banach空间中，讨论主算子为C半群无穷小生成元的一类非齐次抽象Cauchy问题的mild解与其强解的关系． |
| 关 键 词： | C半群 无穷小生成元 抽象Cauchy问题 mild解 强解 |
C-Semigroups and Mild Solution of Abstract Cauchy Problem |
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| LU Feng-ling,SONG Xiao-qiu,WANG Fu-hong. C-Semigroups and Mild Solution of Abstract Cauchy Problem[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2008, 26(4): 35-37 | |
| Authors: | LU Feng-ling SONG Xiao-qiu WANG Fu-hong |
| Affiliation: | (School of Science, China University of Mining ＆ Technology, Xuzhou, Jiangsu, 221008, China) |
| Abstract: | The mild solution and strong solution are introduced in Banach space for a class of inhomogeneous abstract Cauchy problems whose principal operator is the infinitesimal generator of C-semigroups, and the relations between mild solution and strong solution are discussed. |
| Keywords: | C-semigroup infinitesimal generator abstract Cauchy problem mild solutionstrong solution |
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