| 双连续n次积分C-半群与抽象Cauchy问题的C-适定性 |
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| 引用本文： | 常胜伟,刘瑞. 双连续n次积分C-半群与抽象Cauchy问题的C-适定性[J]. 山东大学学报(理学版), 2012, 47(6): 107-110 |
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| 作者姓名： | 常胜伟 刘瑞 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西延安,716000 |
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| 基金项目： | 延安大学自然科学专项基金资助项目(YD2011-07);延安大学专项基金资助项目(YD2008-21) |
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| 摘 要： | 讨论了双连续n次积分C-半群与一类抽象柯西问题适定性之间的关系,得出闭线性算子A(次)生成双连续n次积分C-半群等价于相应的(ACP)是C-适定的。
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| 关 键 词： | 双连续n次积分C-半群 生成元 柯西问题 C-适定性 |
Bi-continuous n-times integrated C-semigroups and C-wellposedness of an Abstract Cauchy problem |
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| CHANG Sheng-wei,LIU Rui. Bi-continuous n-times integrated C-semigroups and C-wellposedness of an Abstract Cauchy problem[J]. Journal of Shandong University, 2012, 47(6): 107-110 |
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| Authors: | CHANG Sheng-wei LIU Rui |
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| Affiliation: | (College of Mathematics and Computer Science of Yan’an University,Yan’an 716000,Shaanxi,China) |
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| Abstract: | The relations of bi-continuous n-times integrated C-semigroups and C-wellposedness of an Abstract Cauchy Problem(ACP) are discussed.A closed linear operator A(sub) generating bi-continuous n-times integrated C-semigroups is equivalent to(ACP) owing C-wellposedness. |
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| Keywords: | bi-continuous n-times integrated C-semigroups generator Cauchy problem C-wellposedness |
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