| 0 INTRODUCTION | 第18-26页 |
| 0.1 Background and historical review | 第18-24页 |
| 0.2 Main results and open problems | 第24-26页 |
| 1 STABILITY FOR TIMOSHENKO BEAM SYSTEM WITH LOCAL KELVINVOIGT DAMPING | 第26-42页 |
| 1.1 Introduction | 第26-29页 |
| 1.2 Semigroup setting,well-posedness and strong asymptotic stability | 第29-33页 |
| 1.3 Exponential stability | 第33-42页 |
| 2 EXPONENTIAL STABILITY FOR TIMOSHENKO BEAM SYSTEM WITH LOCAL BOLTZMANN TYPE DAMPING | 第42-63页 |
| 2.1 Introduction | 第42-46页 |
| 2.2 Semigroup setting | 第46-53页 |
| 2.3 Exponential stability | 第53-63页 |
| 3 EXPONENTIAL STABILITY OF EULER-BERNOULLI BEAM WITH BOLTZMANN TYPE DAMPING | 第63-81页 |
| 3.1 Introduction | 第63-67页 |
| 3.2 Semigroup setting and strongly asymptotic stability | 第67-74页 |
| 3.3 Exponential stability | 第74-81页 |
| 4 STABILITY OF HIGH DIMENSIONAL WAVE EQUATION WITH LOCAL BOLTZMANN DAMPING | 第81-97页 |
| 4.1 Introduction | 第81-83页 |
| 4.2 Semigroup setting and strong asymptotic stability | 第83-88页 |
| 4.3 Exponential stability of e~(tA) | 第88-97页 |
| BIBLIOGRAPHY | 第97-103页 |
