Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (5): 936-946.

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Generation Theorems of Semigroups for Hamiltonian Operator Matrices

Liu Jie1,2, Huang Junjie1, Alatancang1,3   

  1. 1 School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021;
    2 Manzhouli College, Inner Mongolia University, Inner Mongolia Manzhouli 021400;
    3 Department of Mathematics, Huhhot University for Nationalities, Hohhot 010051
  • Received:2014-02-27 Revised:2015-04-21 Online:2015-10-25 Published:2015-10-25

Abstract:

This paper deals with the generation problem of semigroups for Hamiltonian operator matrices. Some necessary and sufficient conditions are obtained for Hamiltonian operator matrices to generate C0 semigroups. Then the spectral location of such operator matrices are further obtained. As applications, the solutions of mixed problems for a class of fourth-order partial differential equations are given, based on the semigroup method of Hamiltonian system.

Key words: Hamiltonian operator matrix, C0 semigroup, Spectral distribution

CLC Number: 

  • O175.3
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