| 中文摘要 | 第1-4页 |
| ABSTRACT | 第4-18页 |
| 1 Introduction | 第18-32页 |
| 2 Preliminaries | 第32-36页 |
| ·Nonlinear analysis | 第32-33页 |
| ·Semigroup | 第33-35页 |
| ·Carleman estimates | 第35-36页 |
| 3 Controllability of quasilinear degenerate parabolic equations | 第36-76页 |
| ·Approximate controllability of Newtonian filtration equations | 第36-60页 |
| ·Null controllability of Newtonian filtration equations | 第60-70页 |
| ·Null controllability of non-Newtonian filtration equations | 第70-76页 |
| 4 Controllability of cascade systems | 第76-98页 |
| ·Existence of insensitizing controls for a class of linear degenerate parabolic equations | 第76-83页 |
| ·Null controllability of a cascade system governed by a semilinear degenerate equation and heat equation | 第83-98页 |
| 5 Eventual regularity of a wave equation with boundary dissipation | 第98-110页 |
| ·Main result | 第98-99页 |
| ·Preliminaries | 第99-100页 |
| ·Proof of the main result | 第100-110页 |
| Bibliography | 第110-118页 |
| ACKNOWLEDGEMENT | 第118页 |
