Characteristic Conditions of the Generation of C0 Semigroups in a Hilbert Space
Characteristic Conditions of the Generation of C0 Semigroups in a Hilbert Space
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DOI：
10.1006/jmaa.2000.6810
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发表时间：
2000-07
影响因子：
1.3
通讯作者：
Dong-Hua Shi;Dexing Feng
中科院分区：
文献类型：
--
作者：
Dong-Hua Shi;Dexing Feng
本文提出并证明了保证A在Hilbert空间中生成C0半群的新的关于A的特征条件以及A和A*的一阶预解。该条件可用于研究非耗散系统的适定性问题。文中还举例说明了它们的使用方法。
Abstract In this paper new characteristic conditions, in terms of A and the first order resolvent of A and A *, which assure that A generates a C 0 semigroup in a Hilbert space are proposed and proved. The conditions can be used to investigate the well-posedness problem of non-dissipative systems. An example is also given to show how to use them.