Characteristic Conditions of the Generation of C0 Semigroups in a Hilbert Space

By Dong-Hua Shi, Dexing Feng. 2000

51 citations recorded by the source corpus.

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.

Subfields: Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3964b6b6c2db1042b53ea07bb2a45b968f359470