数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (3): 319-326.

• 论文 • 上一篇    下一篇

SOME PROBLEMS FOR LINEAR ELASTIC SYSTEMS WITH DAMPING

黄发伦   

  1. Dept. of Math., Sichuan Univ., Ghengdu, China
  • 收稿日期:1987-03-27 出版日期:1990-09-25 发布日期:1990-09-25
  • 基金资助:
    Project supported by the National Science Foundation of China.

SOME PROBLEMS FOR LINEAR ELASTIC SYSTEMS WITH DAMPING

Huang Falun   

  1. Dept. of Math., Sichuan Univ., Ghengdu, China
  • Received:1987-03-27 Online:1990-09-25 Published:1990-09-25
  • Supported by:
    Project supported by the National Science Foundation of China.

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摘要： In the present paper we investigate linear elastic systems with damping ÿ+Bẏ+Ay=0 in Hilbert spaces, where A and B are unbounded positive definite linear operators. We have obtained the most fundamental results for the holomorphic property and exponential stability of the semi-groups associated with these systems via inclusion relation of the domains of A and B.

Abstract: In the present paper we investigate linear elastic systems with damping ÿ+Bẏ+Ay=0 in Hilbert spaces, where A and B are unbounded positive definite linear operators. We have obtained the most fundamental results for the holomorphic property and exponential stability of the semi-groups associated with these systems via inclusion relation of the domains of A and B.

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