| Banach空间中一类半线性发展方程的存在结果 |
| |
| 引用本文： | 王静,薛星美.Banach空间中一类半线性发展方程的存在结果[J].东南大学学报,2003,19(2). |
| |
| 作者姓名： | 王静 薛星美 |
| |
| 作者单位： | 东南大学数学系 南京210096
(王静)，东南大学数学系 南京210096(薛星美) |
| |
| 摘 要： | 讨论了Banach空间中抛物发展方程d(x(t) +g(t,(x) ) ) /dt +A(t)x(t) =f(t ,x(t) )的存在结果 ,这里A(t)生成一个发展系统 ,函数f,g是连续的 .笔者分别给出适度解定理 ,适度解存在惟一性定理和半古典解存在惟一性定理 ,推广了前人g(t)≡ 0或A(t)≡A的结果 .
|
| 关 键 词： | 发展系统 解析半群 适度解 半古典解 古典解 |
Existence results for a class of parabolic evolution equations in Banach spaces |
| |
| Wang Jing,Xue Xingmei.Existence results for a class of parabolic evolution equations in Banach spaces[J].Journal of Southeast University(English Edition),2003,19(2). |
| |
| Authors: | Wang Jing Xue Xingmei |
| |
| Abstract: | We discuss the existence results of the parabolic evolution equation d(x(t)+g(t,x(t)))/dt+A(t)x(t)=f(t,x(t)) in Banach spaces, where A(t) generates an evolution system and functions f,g are continuous. We get the theorem of existence of a mild solution, the theorem of existence and uniqueness of a mild solution and the theorem of existence and uniqueness of an S-classical (semi-classical) solution. We extend the cases when g(t)=0 or A(t)=A. |
| |
| Keywords: | evolution system analytic semigroup mild solution semi-classical solution classical solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
