| 一类非局部发展问题解的存在性 |
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| 引用本文： | 莫愿斌. 一类非局部发展问题解的存在性[J]. 贵州大学学报(自然科学版), 2002, 19(1): 1-17 |
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| 作者姓名： | 莫愿斌 |
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| 作者单位： | 贵州大学数学系,贵州,贵阳,550025 |
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| 基金项目： | 贵州省科技厅科学基金资助项目 |
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| 摘 要： | 考虑非局部发展问题。首先对主算子为紧半群无穷小生成元，在较弱的假设条件下，证明温和解是存在的。同时研究主算子为解析半群时温和解的正则性问题，进而对主算子为解析紧半群问题给出一个有用的结果。最后，以一个例子展示理论结果的应用。
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| 关 键 词： | 存在性 温和解 无穷小生成无紧半群 可测性 解析半群 局部Holder连续 非局部发展问题 主算子 |
Existence of Solutions for A Class of Non-local Evolution Problems |
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| Abstract. Existence of Solutions for A Class of Non-local Evolution Problems[J]. Journal of Guizhou University(Natural Science), 2002, 19(1): 1-17 |
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| Authors: | Abstract |
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| Abstract: | Author consider the so called non local evolution problem,discuss the existence of mild solution in case where the principle operator is the infinitesimal generator of a compact semigroup under rather weak condition,study the regularity of mild solutions when the principle operator is the infinitesimal generator of an analytic semigroup,and obtain a useful result when the principle operator is the infinitesimal generator of a compact analytic semigroup.An example is given to illustrate our results. |
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| Keywords: | Existence mild-solution infinitesimal generator compact semigroup measurability analytic semigroup locally Ho1der continuity bochner integral Gateaux differentiability |
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